102120202101012 has 96 divisors (see below), whose sum is σ = 243489301171200. Its totient is φ = 33301901203200.

The previous prime is 102120202100971. The next prime is 102120202101083. The reversal of 102120202101012 is 210101202021201.

It is a junction number, because it is equal to n+sod(n) for n = 102120202100982 and 102120202101000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124389312 + ... + 125207592.

It is an arithmetic number, because the mean of its divisors is an integer number (2536346887200).

Almost surely, 2^{102120202101012} is an apocalyptic number.

102120202101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102120202101012 is an abundant number, since it is smaller than the sum of its proper divisors (141369099070188).

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

102120202101012 is a wasteful number, since it uses less digits than its factorization.

102120202101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819197 (or 819195 counting only the distinct ones).

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

Adding to 102120202101012 its reverse (210101202021201), we get a palindrome (312221404122213).

The spelling of 102120202101012 in words is "one hundred two trillion, one hundred twenty billion, two hundred two million, one hundred one thousand, twelve".