10251612454221 has 96 divisors (see below), whose sum is σ = 15335768448000. Its totient is φ = 6596331033600.

The previous prime is 10251612454217. The next prime is 10251612454243. The reversal of 10251612454221 is 12245421615201.

10251612454221 is a `hidden beast` number, since 1 + 0 + 2 + 51 + 61 + 2 + 4 + 542 + 2 + 1 = 666.

It is not a de Polignac number, because 10251612454221 - 2² = 10251612454217 is a prime.

It is a super-2 number, since 2×10251612454221² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10251612454211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5828090340 + ... + 5828092098.

It is an arithmetic number, because the mean of its divisors is an integer number (159747588000).

Almost surely, 2^{10251612454221} is an apocalyptic number.

It is an amenable number.

10251612454221 is a deficient number, since it is larger than the sum of its proper divisors (5084155993779).

10251612454221 is a wasteful number, since it uses less digits than its factorization.

10251612454221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 10251612454221 in words is "ten trillion, two hundred fifty-one billion, six hundred twelve million, four hundred fifty-four thousand, two hundred twenty-one".