102010212411200 has 84 divisors (see below), whose sum is σ = 251071537288992. Its totient is φ = 40793899200000.

The previous prime is 102010212411161. The next prime is 102010212411229. The reversal of 102010212411200 is 2114212010201.

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 11 ways as a sum of consecutive naturals, for example, 1544426 + ... + 14366825.

It is an arithmetic number, because the mean of its divisors is an integer number (2988946872488).

Almost surely, 2^{102010212411200} is an apocalyptic number.

102010212411200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010212411200 is an abundant number, since it is smaller than the sum of its proper divisors (149061324877792).

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

102010212411200 is a wasteful number, since it uses less digits than its factorization.

102010212411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15915280 (or 15915265 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102010212411200 its reverse (2114212010201), we get a palindrome (104124424421401).

The spelling of 102010212411200 in words is "one hundred two trillion, ten billion, two hundred twelve million, four hundred eleven thousand, two hundred".