101836009261 has 16 divisors (see below), whose sum is σ = 118623657600. Its totient is φ = 85609487808.

The previous prime is 101836009217. The next prime is 101836009277. The reversal of 101836009261 is 162900638101.

It is a cyclic number.

It is not a de Polignac number, because 101836009261 - 2¹⁷ = 101835878189 is a prime.

It is a super-2 number, since 2×101836009261² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101836009261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101836009291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 985510 + ... + 1083928.

It is an arithmetic number, because the mean of its divisors is an integer number (7413978600).

Almost surely, 2^101836009261 is an apocalyptic number.

It is an amenable number.

101836009261 is a deficient number, since it is larger than the sum of its proper divisors (16787648339).

101836009261 is an equidigital number, since it uses as much as digits as its factorization.

101836009261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101268.

The product of its (nonzero) digits is 15552, while the sum is 37.

The spelling of 101836009261 in words is "one hundred one billion, eight hundred thirty-six million, nine thousand, two hundred sixty-one".