102220000012100 has 36 divisors (see below), whose sum is σ = 221817945906900. Its totient is φ = 40887899381760.

The previous prime is 102220000012087. The next prime is 102220000012127. The reversal of 102220000012100 is 1210000022201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8809012128004 + 93410987884096 = 2967998^2 + 9664936^2 .

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, 49953896 + ... + 51959904.

It is an arithmetic number, because the mean of its divisors is an integer number (6161609608525).

Almost surely, 2^{102220000012100} is an apocalyptic number.

102220000012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220000012100 is an abundant number, since it is smaller than the sum of its proper divisors (119597945894800).

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

102220000012100 is a wasteful number, since it uses less digits than its factorization.

102220000012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2515592 (or 2515585 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102220000012100 its reverse (1210000022201), we get a palindrome (103430000034301).

The spelling of 102220000012100 in words is "one hundred two trillion, two hundred twenty billion, twelve thousand, one hundred".