102112111102000 has 160 divisors (see below), whose sum is σ = 247226671980288. Its totient is φ = 40792003200000.

The previous prime is 102112111101907. The next prime is 102112111102007. The reversal of 102112111102000 is 201111211201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102112111102007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9027676345 + ... + 9027687655.

Almost surely, 2^{102112111102000} is an apocalyptic number.

102112111102000 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 102112111102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123613335990144).

102112111102000 is an abundant number, since it is smaller than the sum of its proper divisors (145114560878288).

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

102112111102000 is a wasteful number, since it uses less digits than its factorization.

102112111102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16776 (or 16760 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102112111102000 its reverse (201111211201), we get a palindrome (102313222313201).

The spelling of 102112111102000 in words is "one hundred two trillion, one hundred twelve billion, one hundred eleven million, one hundred two thousand".