101100121101180 has 36 divisors (see below), whose sum is σ = 306670367340792. Its totient is φ = 26960032293600.

The previous prime is 101100121101179. The next prime is 101100121101247. The reversal of 101100121101180 is 81101121001101.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×101100121101180² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280833669546 + ... + 280833669905.

It is an arithmetic number, because the mean of its divisors is an integer number (8518621315022).

Almost surely, 2^{101100121101180} is an apocalyptic number.

101100121101180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100121101180 is an abundant number, since it is smaller than the sum of its proper divisors (205570246239612).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101100121101180 is a wasteful number, since it uses less digits than its factorization.

101100121101180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561667339466 (or 561667339461 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 101100121101180 its reverse (81101121001101), we get a palindrome (182201242102281).

The spelling of 101100121101180 in words is "one hundred one trillion, one hundred billion, one hundred twenty-one million, one hundred one thousand, one hundred eighty".