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101212200010020 = 223511409137485167
BaseRepresentation
bin10111000000110101001101…
…001110101000000100100100
3111021100210101020111100210010
4113000311031032220010210
5101231230041200310040
6555132124235530220
730214224445210521
oct2700651516500444
9437323336440703
10101212200010020
112a281942344380
12b427728bb9970
134462367154198
141adc9a7740148
15ba7b65587e80
hex5c0d4d3a8124

101212200010020 has 96 divisors (see below), whose sum is σ = 309232843831296. Its totient is φ = 24530292630400.

The previous prime is 101212200010001. The next prime is 101212200010039. The reversal of 101212200010020 is 20010002212101.

It is an interprime number because it is at equal distance from previous prime (101212200010001) and next prime (101212200010039).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101212200009978 and 101212200010005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16042524 + ... + 21442643.

It is an arithmetic number, because the mean of its divisors is an integer number (3221175456576).

Almost surely, 2101212200010020 is an apocalyptic number.

101212200010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212200010020 is an abundant number, since it is smaller than the sum of its proper divisors (208020643821276).

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

101212200010020 is a wasteful number, since it uses less digits than its factorization.

101212200010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37489281 (or 37489279 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101212200010020 its reverse (20010002212101), we get a palindrome (121222202222121).

The spelling of 101212200010020 in words is "one hundred one trillion, two hundred twelve billion, two hundred million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 4091 8182 12273 16364 20455 24546 40910 45001 49092 61365 81820 90002 122730 135003 180004 225005 245460 270006 450010 540012 675015 900020 1350030 2700060 37485167 74970334 112455501 149940668 187425835 224911002 374851670 412336837 449822004 562277505 749703340 824673674 1124555010 1237010511 1649347348 2061684185 2249110020 2474021022 4123368370 4948042044 6185052555 8246736740 12370105110 24740210220 153351818197 306703636394 460055454591 613407272788 766759090985 920110909182 1533518181970 1686870000167 1840221818364 2300277272955 3067036363940 3373740000334 4600554545910 5060610000501 6747480000668 8434350000835 9201109091820 10121220001002 16868700001670 20242440002004 25303050002505 33737400003340 50606100005010 101212200010020