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101012102021220 = 223513142391006813
BaseRepresentation
bin10110111101111010110110…
…011101011000000001100100
3111020122122220001211022220220
4112331322312131120001210
5101214440241104134340
6554500152525324340
730163612024316055
oct2675726635300144
9436578801738826
10101012102021220
112a204aa02357a5
12b3b49a47066b0
134449528746a90
141ad302463272c
15ba2853709ed0
hex5bdeb6758064

101012102021220 has 96 divisors (see below), whose sum is σ = 304804389775872. Its totient is φ = 24847043839488.

The previous prime is 101012102021219. The next prime is 101012102021261. The reversal of 101012102021220 is 22120201210101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101012102021220.

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, 44393467 + ... + 46613346.

It is an arithmetic number, because the mean of its divisors is an integer number (3175045726832).

Almost surely, 2101012102021220 is an apocalyptic number.

101012102021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012102021220 is an abundant number, since it is smaller than the sum of its proper divisors (203792287754652).

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

101012102021220 is a wasteful number, since it uses less digits than its factorization.

101012102021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91008261 (or 91008259 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101012102021220 its reverse (22120201210101), we get a palindrome (123132303231321).

The spelling of 101012102021220 in words is "one hundred one trillion, twelve billion, one hundred two million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1423 2846 4269 5692 7115 8538 14230 17076 18499 21345 28460 36998 42690 55497 73996 85380 92495 110994 184990 221988 277485 369980 554970 1109940 91006813 182013626 273020439 364027252 455034065 546040878 910068130 1092081756 1183088569 1365102195 1820136260 2366177138 2730204390 3549265707 4732354276 5460408780 5915442845 7098531414 11830885690 14197062828 17746328535 23661771380 35492657070 70985314140 129502694899 259005389798 388508084697 518010779596 647513474495 777016169394 1295026948990 1554032338788 1683535033687 1942540423485 2590053897980 3367070067374 3885080846970 5050605101061 6734140134748 7770161693940 8417675168435 10101210202122 16835350336870 20202420404244 25253025505305 33670700673740 50506051010610 101012102021220