102100122212200 has 48 divisors (see below), whose sum is σ = 271294610453280. Its totient is φ = 35005756186560.

The previous prime is 102100122212183. The next prime is 102100122212227. The reversal of 102100122212200 is 2212221001201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36464327962 + ... + 36464330761.

It is an arithmetic number, because the mean of its divisors is an integer number (5651971051110).

Almost surely, 2^{102100122212200} is an apocalyptic number.

102100122212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100122212200 is an abundant number, since it is smaller than the sum of its proper divisors (169194488241080).

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

102100122212200 is a wasteful number, since it uses less digits than its factorization.

102100122212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72928658746 (or 72928658737 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102100122212200 its reverse (2212221001201), we get a palindrome (104312343213401).

The spelling of 102100122212200 in words is "one hundred two trillion, one hundred billion, one hundred twenty-two million, two hundred twelve thousand, two hundred".