225057537102101 has 32 divisors (see below), whose sum is σ = 256620864614400. Its totient is φ = 195374723544000.

The previous prime is 225057537102043. The next prime is 225057537102113. The reversal of 225057537102101 is 101201735750522.

It is a de Polignac number, because none of the positive numbers 2^k-225057537102101 is a prime.

It is a super-2 number, since 2×225057537102101² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225057537101101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 726815156 + ... + 727124738.

It is an arithmetic number, because the mean of its divisors is an integer number (8019402019200).

Almost surely, 2^{225057537102101} is an apocalyptic number.

It is an amenable number.

225057537102101 is a deficient number, since it is larger than the sum of its proper divisors (31563327512299).

225057537102101 is a wasteful number, since it uses less digits than its factorization.

225057537102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314417.

The product of its (nonzero) digits is 147000, while the sum is 41.

The spelling of 225057537102101 in words is "two hundred twenty-five trillion, fifty-seven billion, five hundred thirty-seven million, one hundred two thousand, one hundred one".