102201112210100 has 36 divisors (see below), whose sum is σ = 223972219592268. Its totient is φ = 40475688000000.

The previous prime is 102201112210073. The next prime is 102201112210123. The reversal of 102201112210100 is 1012211102201.

It can be written as a sum of positive squares in 6 ways, for example, as 5278111087396 + 96923001122704 = 2297414^2 + 9844948^2 .

It is a congruent number.

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, 5059450901 + ... + 5059471100.

Almost surely, 2^{102201112210100} is an apocalyptic number.

102201112210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201112210100 is an abundant number, since it is smaller than the sum of its proper divisors (121771107382168).

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

102201112210100 is a wasteful number, since it uses less digits than its factorization.

102201112210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10118922116 (or 10118922109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102201112210100 its reverse (1012211102201), we get a palindrome (103213323312301).

The spelling of 102201112210100 in words is "one hundred two trillion, two hundred one billion, one hundred twelve million, two hundred ten thousand, one hundred".