102112001110200 has 96 divisors (see below), whose sum is σ = 335167627206960. Its totient is φ = 25628110080000.

The previous prime is 102112001110139. The next prime is 102112001110201. The reversal of 102112001110200 is 2011100211201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112001110201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5005480051 + ... + 5005500450.

Almost surely, 2^{102112001110200} is an apocalyptic number.

102112001110200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112001110200 is an abundant number, since it is smaller than the sum of its proper divisors (233055626096760).

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

102112001110200 is a wasteful number, since it uses less digits than its factorization.

102112001110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10010980537 (or 10010980528 counting only the distinct ones).

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

Adding to 102112001110200 its reverse (2011100211201), we get a palindrome (104123101321401).

It can be divided in two parts, 102112001 and 110200, that added together give a palindrome (102222201).

The spelling of 102112001110200 in words is "one hundred two trillion, one hundred twelve billion, one million, one hundred ten thousand, two hundred".