102111212000 has 96 divisors (see below), whose sum is σ = 286728361920. Its totient is φ = 35009548800.

The previous prime is 102111211963. The next prime is 102111212039. The reversal of 102111212000 is 212111201.

It is a super-2 number, since 2×102111212000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1795415 + ... + 1851414.

It is an arithmetic number, because the mean of its divisors is an integer number (2986753770).

Almost surely, 2^102111212000 is an apocalyptic number.

102111212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102111212000 is an abundant number, since it is smaller than the sum of its proper divisors (184617149920).

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

102111212000 is an equidigital number, since it uses as much as digits as its factorization.

102111212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3646861 (or 3646843 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102111212000 its reverse (212111201), we get a palindrome (102323323201).

The spelling of 102111212000 in words is "one hundred two billion, one hundred eleven million, two hundred twelve thousand".