102112010110000 has 1200 divisors, whose sum is σ = 300915660165120. Its totient is φ = 33375513600000.

The previous prime is 102112010109979. The next prime is 102112010110007. The reversal of 102112010110000 is 11010211201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (102112010110007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 50375928987 + ... + 50375931013.

Almost surely, 2^{102112010110000} is an apocalyptic number.

102112010110000 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 102112010110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150457830082560).

102112010110000 is an abundant number, since it is smaller than the sum of its proper divisors (198803650055120).

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

102112010110000 is a wasteful number, since it uses less digits than its factorization.

102112010110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2204 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102112010110000 its reverse (11010211201), we get a palindrome (102123020321201).

The spelling of 102112010110000 in words is "one hundred two trillion, one hundred twelve billion, ten million, one hundred ten thousand".