102101111121200 has 120 divisors (see below), whose sum is σ = 255969763815168. Its totient is φ = 39063747754240.

The previous prime is 102101111121199. The next prime is 102101111121287. The reversal of 102101111121200 is 2121111101201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414640517 + ... + 414886683.

Almost surely, 2^{102101111121200} is an apocalyptic number.

102101111121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101111121200 is an abundant number, since it is smaller than the sum of its proper divisors (153868652693968).

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

102101111121200 is a wasteful number, since it uses less digits than its factorization.

102101111121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291291 (or 291280 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102101111121200 its reverse (2121111101201), we get a palindrome (104222222222401).

The spelling of 102101111121200 in words is "one hundred two trillion, one hundred one billion, one hundred eleven million, one hundred twenty-one thousand, two hundred".