10206631406601 has 48 divisors (see below), whose sum is σ = 17046094066560. Its totient is φ = 5764355769600.

The previous prime is 10206631406593. The next prime is 10206631406639. The reversal of 10206631406601 is 10660413660201.

It is a happy number.

10206631406601 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 6 + 6 + 3 + 1 + 40 + 6 + 601 = 666.

It is not a de Polignac number, because 10206631406601 - 2³ = 10206631406593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10206631306601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2157805 + ... + 5006933.

It is an arithmetic number, because the mean of its divisors is an integer number (355126959720).

Almost surely, 2^{10206631406601} is an apocalyptic number.

It is an amenable number.

10206631406601 is a deficient number, since it is larger than the sum of its proper divisors (6839462659959).

10206631406601 is a wasteful number, since it uses less digits than its factorization.

10206631406601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2849806 (or 2849803 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10206631406601 in words is "ten trillion, two hundred six billion, six hundred thirty-one million, four hundred six thousand, six hundred one".