10165222256101 has 32 divisors (see below), whose sum is σ = 11255533914240. Its totient is φ = 9103529779200.

The previous prime is 10165222256093. The next prime is 10165222256141.

10165222256101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10165222256101 - 2³ = 10165222256093 is a prime.

It is a super-2 number, since 2×10165222256101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10165222256141) 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, 614315910 + ... + 614332456.

It is an arithmetic number, because the mean of its divisors is an integer number (351735434820).

Almost surely, 2^{10165222256101} is an apocalyptic number.

10165222256101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10165222256101 is a deficient number, since it is larger than the sum of its proper divisors (1090311658139).

10165222256101 is a wasteful number, since it uses less digits than its factorization.

10165222256101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19285.

The product of its (nonzero) digits is 14400, while the sum is 34.

The spelling of 10165222256101 in words is "ten trillion, one hundred sixty-five billion, two hundred twenty-two million, two hundred fifty-six thousand, one hundred one".