10101557210657 has 16 divisors (see below), whose sum is σ = 11228613984000. Its totient is φ = 9009314371200.

The previous prime is 10101557210629. The next prime is 10101557210663. The reversal of 10101557210657 is 75601275510101.

It is not a de Polignac number, because 10101557210657 - 2²⁶ = 10101490101793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10101557210957) 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, 7542557 + ... + 8780277.

It is an arithmetic number, because the mean of its divisors is an integer number (701788374000).

Almost surely, 2^{10101557210657} is an apocalyptic number.

It is an amenable number.

10101557210657 is a deficient number, since it is larger than the sum of its proper divisors (1127056773343).

10101557210657 is a wasteful number, since it uses less digits than its factorization.

10101557210657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251784.

The product of its (nonzero) digits is 73500, while the sum is 41.

The spelling of 10101557210657 in words is "ten trillion, one hundred one billion, five hundred fifty-seven million, two hundred ten thousand, six hundred fifty-seven".