102110101111200 has 288 divisors, whose sum is σ = 409068775172736. Its totient is φ = 21544109199360.

The previous prime is 102110101111181. The next prime is 102110101111231. The reversal of 102110101111200 is 2111101011201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233550147 + ... + 233986946.

It is an arithmetic number, because the mean of its divisors is an integer number (1420377691572).

Almost surely, 2^{102110101111200} is an apocalyptic number.

102110101111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102110101111200 is an abundant number, since it is smaller than the sum of its proper divisors (306958674061536).

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

102110101111200 is a wasteful number, since it uses less digits than its factorization.

102110101111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467537136 (or 467537123 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 102110101111200 its reverse (2111101011201), we get a palindrome (104221202122401).

Subtracting from 102110101111200 its reverse (2111101011201), we obtain a palindrome (99999000099999).

The spelling of 102110101111200 in words is "one hundred two trillion, one hundred ten billion, one hundred one million, one hundred eleven thousand, two hundred".