101882436456261 has 64 divisors (see below), whose sum is σ = 143913287347200. Its totient is φ = 64007261638656.

The previous prime is 101882436456247. The next prime is 101882436456287. The reversal of 101882436456261 is 162654634288101.

It is a happy number.

It is not a de Polignac number, because 101882436456261 - 2¹⁰ = 101882436455237 is a prime.

It is a super-2 number, since 2×101882436456261² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101882436456211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6811681795 + ... + 6811696751.

It is an arithmetic number, because the mean of its divisors is an integer number (2248645114800).

Almost surely, 2^{101882436456261} is an apocalyptic number.

It is an amenable number.

101882436456261 is a deficient number, since it is larger than the sum of its proper divisors (42030850890939).

101882436456261 is a wasteful number, since it uses less digits than its factorization.

101882436456261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19518.

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 101882436456261 in words is "one hundred one trillion, eight hundred eighty-two billion, four hundred thirty-six million, four hundred fifty-six thousand, two hundred sixty-one".