102200000112100 has 108 divisors (see below), whose sum is σ = 252173913938100. Its totient is φ = 35882131577600.

The previous prime is 102200000112031. The next prime is 102200000112101. The reversal of 102200000112100 is 1211000002201.

It can be written as a sum of positive squares in 6 ways, for example, as 283262386176 + 101916737725924 = 532224^2 + 10095382^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (102200000112101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 145274635 + ... + 145976434.

It is an arithmetic number, because the mean of its divisors is an integer number (2334943647575).

Almost surely, 2^{102200000112100} is an apocalyptic number.

102200000112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200000112100 is an abundant number, since it is smaller than the sum of its proper divisors (149973913826000).

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

102200000112100 is a wasteful number, since it uses less digits than its factorization.

102200000112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291251134 (or 291251116 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102200000112100 its reverse (1211000002201), we get a palindrome (103411000114301).

The spelling of 102200000112100 in words is "one hundred two trillion, two hundred billion, one hundred twelve thousand, one hundred".