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102122301112020 = 2232571740911656759
BaseRepresentation
bin10111001110000100110011…
…011110110011111011010100
3111101120210111202021121000100
4113032010303132303323110
5101341132433041041040
61001110200521014100
730340043552015160
oct2716046336637324
9441523452247010
10102122301112020
112a5a2908722652
12b553ba0024330
1344ca126538a07
141b30a62485ca0
15bc167e793b30
hex5ce1337b3ed4

102122301112020 has 288 divisors, whose sum is σ = 375765450278400. Its totient is φ = 21915451072512.

The previous prime is 102122301112001. The next prime is 102122301112021. The reversal of 102122301112020 is 20211103221201.

102122301112020 is a `hidden beast` number, since 10 + 212 + 2 + 301 + 1 + 120 + 20 = 666.

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 = 102122301111984 and 102122301112002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122301112021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2932401 + ... + 14589159.

It is an arithmetic number, because the mean of its divisors is an integer number (1304741146800).

Almost surely, 2102122301112020 is an apocalyptic number.

102122301112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102122301112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187882725139200).

102122301112020 is an abundant number, since it is smaller than the sum of its proper divisors (273643149166380).

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

102122301112020 is a wasteful number, since it uses less digits than its factorization.

102122301112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11657207 (or 11657202 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102122301112020 its reverse (20211103221201), we get a palindrome (122333404333221).

The spelling of 102122301112020 in words is "one hundred two trillion, one hundred twenty-two billion, three hundred one million, one hundred twelve thousand, twenty".