102201111120100 has 18 divisors (see below), whose sum is σ = 221776411130834. Its totient is φ = 40880444448000.

The previous prime is 102201111120077. The next prime is 102201111120139. The reversal of 102201111120100 is 1021111102201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 27247627445476 + 74953483674624 = 5219926^2 + 8657568^2 .

It is a super-2 number, since 2×102201111120100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 511005555501 + ... + 511005555700.

Almost surely, 2^{102201111120100} is an apocalyptic number.

102201111120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201111120100 is an abundant number, since it is smaller than the sum of its proper divisors (119575300010734).

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

102201111120100 is a wasteful number, since it uses less digits than its factorization.

102201111120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022011111215 (or 1022011111208 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102201111120100 its reverse (1021111102201), we get a palindrome (103222222222301).

The spelling of 102201111120100 in words is "one hundred two trillion, two hundred one billion, one hundred eleven million, one hundred twenty thousand, one hundred".