102112102212000 has 96 divisors (see below), whose sum is σ = 334519246885824. Its totient is φ = 27229893920000.

The previous prime is 102112102211939. The next prime is 102112102212053. The reversal of 102112102212000 is 212201211201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 15 ways as a sum of consecutive naturals, for example, 4254658926 + ... + 4254682925.

It is an arithmetic number, because the mean of its divisors is an integer number (3484575488394).

Almost surely, 2^{102112102212000} is an apocalyptic number.

102112102212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112102212000 is an abundant number, since it is smaller than the sum of its proper divisors (232407144673824).

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

102112102212000 is an equidigital number, since it uses as much as digits as its factorization.

102112102212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8509341879 (or 8509341861 counting only the distinct ones).

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

Adding to 102112102212000 its reverse (212201211201), we get a palindrome (102324303423201).

The spelling of 102112102212000 in words is "one hundred two trillion, one hundred twelve billion, one hundred two million, two hundred twelve thousand".