101100120111111 has 64 divisors (see below), whose sum is σ = 150424250135040. Its totient is φ = 59885658224640.

The previous prime is 101100120111037. The next prime is 101100120111149. The reversal of 101100120111111 is 111111021001101.

It is not a de Polignac number, because 101100120111111 - 2¹⁵ = 101100120078343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100120111191) 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, 185536525 + ... + 186080633.

It is an arithmetic number, because the mean of its divisors is an integer number (2350378908360).

Almost surely, 2^{101100120111111} is an apocalyptic number.

101100120111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101100120111111 is a deficient number, since it is larger than the sum of its proper divisors (49324130023929).

101100120111111 is a wasteful number, since it uses less digits than its factorization.

101100120111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544896.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 101100120111111 its reverse (111111021001101), we get a palindrome (212211141112212).

It can be divided in two parts, 1011001 and 20111111, that added together give a palindrome (21122112).

The spelling of 101100120111111 in words is "one hundred one trillion, one hundred billion, one hundred twenty million, one hundred eleven thousand, one hundred eleven".