102112100202112 has 768 divisors, whose sum is σ = 296686310215680. Its totient is φ = 34290615582720.

The previous prime is 102112100202071. The next prime is 102112100202179. The reversal of 102112100202112 is 211202001211201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1936372098 + ... + 1936424830.

It is an arithmetic number, because the mean of its divisors is an integer number (386310299760).

Almost surely, 2^{102112100202112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102112100202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148343155107840).

102112100202112 is an abundant number, since it is smaller than the sum of its proper divisors (194574210013568).

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

102112100202112 is a wasteful number, since it uses less digits than its factorization.

102112100202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52929 (or 52910 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102112100202112 its reverse (211202001211201), we get a palindrome (313314101413313).

The spelling of 102112100202112 in words is "one hundred two trillion, one hundred twelve billion, one hundred million, two hundred two thousand, one hundred twelve".