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101020122102220 = 225172027511465433
BaseRepresentation
bin10110111110000010010100…
…011111100011100111001100
3111020200102121000000122202221
4112332002110133203213030
5101220103202224232340
6554504000423425124
730164314541013316
oct2676022437434714
9436612530018687
10101020122102220
112a208436379312
12b3b64625b51a4
13444a20619b139
141ad35858467b6
15ba2b7287044a
hex5be0947e39cc

101020122102220 has 48 divisors (see below), whose sum is σ = 224622473822208. Its totient is φ = 38030891264000.

The previous prime is 101020122102143. The next prime is 101020122102223. The reversal of 101020122102220 is 22201221020101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101020122102194 and 101020122102203.

It is not an unprimeable number, because it can be changed into a prime (101020122102223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68202624 + ... + 69668056.

It is an arithmetic number, because the mean of its divisors is an integer number (4679634871296).

Almost surely, 2101020122102220 is an apocalyptic number.

101020122102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020122102220 is an abundant number, since it is smaller than the sum of its proper divisors (123602351719988).

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

101020122102220 is a wasteful number, since it uses less digits than its factorization.

101020122102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668210 (or 1668208 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101020122102220 its reverse (22201221020101), we get a palindrome (123221343122321).

The spelling of 101020122102220 in words is "one hundred one trillion, twenty billion, one hundred twenty-two million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 202751 405502 811004 1013755 1465433 2027510 2930866 3446767 4055020 5861732 6893534 7327165 13787068 14654330 17233835 24912361 29308660 34467670 49824722 68935340 99649444 124561805 249123610 498247220 297118006183 594236012366 1188472024732 1485590030915 2971180061830 5051006105111 5942360123660 10102012210222 20204024420444 25255030525555 50510061051110 101020122102220