102122100012200 has 24 divisors (see below), whose sum is σ = 237433882528830. Its totient is φ = 40848840004800.

The previous prime is 102122100012193. The next prime is 102122100012221. The reversal of 102122100012200 is 2210001221201.

It can be written as a sum of positive squares in 3 ways, for example, as 99245867177284 + 2876232834916 = 9962222^2 + 1695946^2 .

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, 255305249831 + ... + 255305250230.

Almost surely, 2^{102122100012200} is an apocalyptic number.

102122100012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122100012200 is an abundant number, since it is smaller than the sum of its proper divisors (135311782516630).

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

102122100012200 is a wasteful number, since it uses less digits than its factorization.

102122100012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510610500077 (or 510610500068 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102122100012200 its reverse (2210001221201), we get a palindrome (104332101233401).

The spelling of 102122100012200 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred million, twelve thousand, two hundred".