102100312202202 has 64 divisors (see below), whose sum is σ = 227905752643200. Its totient is φ = 33881166950400.

The previous prime is 102100312202179. The next prime is 102100312202257. The reversal of 102100312202202 is 202202213001201.

102100312202202 is a `hidden beast` number, since 1 + 0 + 210 + 0 + 31 + 220 + 2 + 202 = 666.

It is a super-2 number, since 2×102100312202202² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21565077 + ... + 25869927.

It is an arithmetic number, because the mean of its divisors is an integer number (3561027385050).

Almost surely, 2^{102100312202202} is an apocalyptic number.

102100312202202 is an abundant number, since it is smaller than the sum of its proper divisors (125805440440998).

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

102100312202202 is a wasteful number, since it uses less digits than its factorization.

102100312202202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4306828 (or 4306822 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102100312202202 its reverse (202202213001201), we get a palindrome (304302525203403).

The spelling of 102100312202202 in words is "one hundred two trillion, one hundred billion, three hundred twelve million, two hundred two thousand, two hundred two".