102112112010000 has 300 divisors, whose sum is σ = 332928502288976. Its totient is φ = 26960212800000.

The previous prime is 102112112009977. The next prime is 102112112010047. The reversal of 102112112010000 is 10211211201.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 59 ways as a sum of consecutive naturals, for example, 305863167 + ... + 306196833.

Almost surely, 2^{102112112010000} is an apocalyptic number.

102112112010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102112112010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166464251144488).

102112112010000 is an abundant number, since it is smaller than the sum of its proper divisors (230816390278976).

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

102112112010000 is an equidigital number, since it uses as much as digits as its factorization.

102112112010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333900 (or 333778 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102112112010000 its reverse (10211211201), we get a palindrome (102122323221201).

102112112010000 divided by its reverse (10211211201) gives a 4-th power (10000 = 10⁴).

The spelling of 102112112010000 in words is "one hundred two trillion, one hundred twelve billion, one hundred twelve million, ten thousand".