102100112021120 has 256 divisors, whose sum is σ = 253754494156800. Its totient is φ = 39258345984000.

The previous prime is 102100112021113. The next prime is 102100112021143. The reversal of 102100112021120 is 21120211001201.

It is a junction number, because it is equal to n+sod(n) for n = 102100112021095 and 102100112021104.

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, 453764645 + ... + 453989595.

It is an arithmetic number, because the mean of its divisors is an integer number (991228492800).

Almost surely, 2^{102100112021120} is an apocalyptic number.

102100112021120 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 102100112021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126877247078400).

102100112021120 is an abundant number, since it is smaller than the sum of its proper divisors (151654382135680).

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

102100112021120 is a wasteful number, since it uses less digits than its factorization.

102100112021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225287 (or 225275 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102100112021120 its reverse (21120211001201), we get a palindrome (123220323022321).

The spelling of 102100112021120 in words is "one hundred two trillion, one hundred billion, one hundred twelve million, twenty-one thousand, one hundred twenty".