102000112202120 has 128 divisors (see below), whose sum is σ = 258266276150400. Its totient is φ = 35938379980800.

The previous prime is 102000112202117. The next prime is 102000112202141. The reversal of 102000112202120 is 21202211000201.

It is a junction number, because it is equal to n+sod(n) for n = 102000112202095 and 102000112202104.

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, 26562185 + ... + 30158744.

It is an arithmetic number, because the mean of its divisors is an integer number (2017705282425).

Almost surely, 2^{102000112202120} is an apocalyptic number.

102000112202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000112202120 is an abundant number, since it is smaller than the sum of its proper divisors (156266163948280).

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

102000112202120 is a wasteful number, since it uses less digits than its factorization.

102000112202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56721079 (or 56721075 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102000112202120 its reverse (21202211000201), we get a palindrome (123202323202321).

The spelling of 102000112202120 in words is "one hundred two trillion, one hundred twelve million, two hundred two thousand, one hundred twenty".