102221112120100 has 36 divisors (see below), whose sum is σ = 234868037616324. Its totient is φ = 38483242209280.

The previous prime is 102221112120091. The next prime is 102221112120107. The reversal of 102221112120100 is 1021211122201.

It can be written as a sum of positive squares in 6 ways, for example, as 250054002916 + 101971058117184 = 500054^2 + 10098072^2 .

It is not an unprimeable number, because it can be changed into a prime (102221112120107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30065031277 + ... + 30065034676.

It is an arithmetic number, because the mean of its divisors is an integer number (6524112156009).

Almost surely, 2^{102221112120100} is an apocalyptic number.

102221112120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102221112120100 is an abundant number, since it is smaller than the sum of its proper divisors (132646925496224).

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

102221112120100 is a wasteful number, since it uses less digits than its factorization.

102221112120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60130065984 (or 60130065977 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102221112120100 its reverse (1021211122201), we get a palindrome (103242323242301).

The spelling of 102221112120100 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred twelve million, one hundred twenty thousand, one hundred".