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101222020112220 = 22335726778312199
BaseRepresentation
bin10111000000111110010110…
…100011010101111101011100
3111021101201201121202020112000
4113000332112203111331130
5101231410144122042340
6555140430514442300
730215023006541220
oct2700762643257534
9437351647666460
10101222020112220
112a286021556517
12b429609893390
1344632707a5147
141add259a34780
15ba803c75cd30
hex5c0f968d5f5c

101222020112220 has 96 divisors (see below), whose sum is σ = 359900515968000. Its totient is φ = 23136461739072.

The previous prime is 101222020112203. The next prime is 101222020112237. The reversal of 101222020112220 is 22211020222101.

It is a happy number.

101222020112220 is a `hidden beast` number, since 1 + 0 + 12 + 220 + 201 + 12 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (101222020112203) and next prime (101222020112237).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101222020112193 and 101222020112202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13389152320 + ... + 13389159879.

It is an arithmetic number, because the mean of its divisors is an integer number (3748963708000).

Almost surely, 2101222020112220 is an apocalyptic number.

101222020112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101222020112220 is an abundant number, since it is smaller than the sum of its proper divisors (258678495855780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101222020112220 is a wasteful number, since it uses less digits than its factorization.

101222020112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26778312224 (or 26778312216 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101222020112220 its reverse (22211020222101), we get a palindrome (123433040334321).

The spelling of 101222020112220 in words is "one hundred one trillion, two hundred twenty-two billion, twenty million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 26778312199 53556624398 80334936597 107113248796 133891560995 160669873194 187448185393 241004809791 267783121990 321339746388 374896370786 401674682985 482009619582 535566243980 562344556179 723014429373 749792741572 803349365970 937240926965 964019239164 1124689112358 1205024048955 1446028858746 1606698731940 1687033668537 1874481853930 2249378224716 2410048097910 2811722780895 2892057717492 3374067337074 3615072146865 3748963707860 4820096195820 5061101005611 5623445561790 6748134674148 7230144293730 8435168342685 10122202011222 11246891123580 14460288587460 16870336685370 20244404022444 25305505028055 33740673370740 50611010056110 101222020112220