102566224606100 has 36 divisors (see below), whose sum is σ = 222577898699100. Its totient is φ = 41024795592960.

The previous prime is 102566224606081. The next prime is 102566224606201. The reversal of 102566224606100 is 1606422665201.

It can be written as a sum of positive squares in 6 ways, for example, as 35721014610436 + 66845209995664 = 5976706^2 + 8175892^2 .

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, 18743105 + ... + 23588904.

Almost surely, 2^{102566224606100} is an apocalyptic number.

102566224606100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102566224606100 is an abundant number, since it is smaller than the sum of its proper divisors (120011674093000).

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

102566224606100 is a wasteful number, since it uses less digits than its factorization.

102566224606100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42356252 (or 42356245 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 102566224606100 in words is "one hundred two trillion, five hundred sixty-six billion, two hundred twenty-four million, six hundred six thousand, one hundred".