100011122011120 has 80 divisors (see below), whose sum is σ = 235178678226240. Its totient is φ = 39548947341312.

The previous prime is 100011122011093. The next prime is 100011122011181. The reversal of 100011122011120 is 21110221110001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 100011122011120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119454 + ... + 14143426.

It is an arithmetic number, because the mean of its divisors is an integer number (2939733477828).

Almost surely, 2^{100011122011120} is an apocalyptic number.

100011122011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100011122011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117589339113120).

100011122011120 is an abundant number, since it is smaller than the sum of its proper divisors (135167556215120).

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

100011122011120 is a wasteful number, since it uses less digits than its factorization.

100011122011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14025002 (or 14024996 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100011122011120 its reverse (21110221110001), we get a palindrome (121121343121121).

The spelling of 100011122011120 in words is "one hundred trillion, eleven billion, one hundred twenty-two million, eleven thousand, one hundred twenty".