103721260353201 has 12 divisors (see below), whose sum is σ = 149834841024180. Its totient is φ = 69140471793120.

The previous prime is 103721260353199. The next prime is 103721260353259. The reversal of 103721260353201 is 102353062127301.

103721260353201 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 2 + 12 + 603 + 5 + 32 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 93049637458176 + 10671622895025 = 9646224^2 + 3266745^2 .

It is not a de Polignac number, because 103721260353201 - 2¹ = 103721260353199 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103721260353281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 586165710 + ... + 586342631.

It is an arithmetic number, because the mean of its divisors is an integer number (12486236752015).

Almost surely, 2^{103721260353201} is an apocalyptic number.

It is an amenable number.

103721260353201 is a deficient number, since it is larger than the sum of its proper divisors (46113580670979).

103721260353201 is a wasteful number, since it uses less digits than its factorization.

103721260353201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172518176 (or 1172518173 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 103721260353201 in words is "one hundred three trillion, seven hundred twenty-one billion, two hundred sixty million, three hundred fifty-three thousand, two hundred one".