10204633264100 has 54 divisors (see below), whose sum is σ = 24340158759042. Its totient is φ = 3710775728000.

The previous prime is 10204633264097. The next prime is 10204633264103. The reversal of 10204633264100 is 146233640201.

It is an interprime number because it is at equal distance from previous prime (10204633264097) and next prime (10204633264103).

It can be written as a sum of positive squares in 3 ways, for example, as 117047462884 + 10087585801216 = 342122^2 + 3176096^2 .

It is not an unprimeable number, because it can be changed into a prime (10204633264103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 421666961 + ... + 421691160.

It is an arithmetic number, because the mean of its divisors is an integer number (450743680723).

Almost surely, 2^{10204633264100} is an apocalyptic number.

10204633264100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10204633264100 is an abundant number, since it is smaller than the sum of its proper divisors (14135525494942).

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

10204633264100 is a wasteful number, since it uses less digits than its factorization.

10204633264100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843358157 (or 843358139 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 10204633264100 in words is "ten trillion, two hundred four billion, six hundred thirty-three million, two hundred sixty-four thousand, one hundred".