101101111212120 has 64 divisors (see below), whose sum is σ = 310356899550720. Its totient is φ = 26333312686464.

The previous prime is 101101111212107. The next prime is 101101111212161. The reversal of 101101111212120 is 21212111101101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101101111212120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9796614144 + ... + 9796624463.

It is an arithmetic number, because the mean of its divisors is an integer number (4849326555480).

Almost surely, 2^{101101111212120} is an apocalyptic number.

101101111212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101111212120 is an abundant number, since it is smaller than the sum of its proper divisors (209255788338600).

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

101101111212120 is a wasteful number, since it uses less digits than its factorization.

101101111212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19593238664 (or 19593238660 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101101111212120 its reverse (21212111101101), we get a palindrome (122313222313221).

The spelling of 101101111212120 in words is "one hundred one trillion, one hundred one billion, one hundred eleven million, two hundred twelve thousand, one hundred twenty".