102000010212000 has 192 divisors, whose sum is σ = 371280037564800. Its totient is φ = 27200002694400.

The previous prime is 102000010211971. The next prime is 102000010212029. The reversal of 102000010212000 is 212010000201.

It is an interprime number because it is at equal distance from previous prime (102000010211971) and next prime (102000010212029).

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 472114270 + ... + 472330269.

It is an arithmetic number, because the mean of its divisors is an integer number (1933750195650).

Almost surely, 2^{102000010212000} is an apocalyptic number.

102000010212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000010212000 is an abundant number, since it is smaller than the sum of its proper divisors (269280027352800).

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

102000010212000 is an equidigital number, since it uses as much as digits as its factorization.

102000010212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944444573 (or 944444549 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102000010212000 its reverse (212010000201), we get a palindrome (102212020212201).

The spelling of 102000010212000 in words is "one hundred two trillion, ten million, two hundred twelve thousand".