10645256100401 has 16 divisors (see below), whose sum is σ = 11552322771024. Its totient is φ = 9750845712384.

The previous prime is 10645256100373. The next prime is 10645256100419. The reversal of 10645256100401 is 10400165254601.

10645256100401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 805434451600 + 9839821648801 = 897460^2 + 3136849^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10645256100401 is a prime.

It is a super-2 number, since 2×10645256100401² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10645256102401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3385241 + ... + 5722793.

It is an arithmetic number, because the mean of its divisors is an integer number (722020173189).

Almost surely, 2^{10645256100401} is an apocalyptic number.

It is an amenable number.

10645256100401 is a deficient number, since it is larger than the sum of its proper divisors (907066670623).

10645256100401 is a wasteful number, since it uses less digits than its factorization.

10645256100401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340260.

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 10645256100401 in words is "ten trillion, six hundred forty-five billion, two hundred fifty-six million, one hundred thousand, four hundred one".