111013662100 has 144 divisors (see below), whose sum is σ = 268407945792. Its totient is φ = 39513600000.

The previous prime is 111013662031. The next prime is 111013662121. The reversal of 111013662100 is 1266310111.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14154180 + ... + 14162020.

It is an arithmetic number, because the mean of its divisors is an integer number (1863944068).

Almost surely, 2^111013662100 is an apocalyptic number.

111013662100 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 111013662100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134203972896).

111013662100 is an abundant number, since it is smaller than the sum of its proper divisors (157394283692).

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

111013662100 is a wasteful number, since it uses less digits than its factorization.

111013662100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8138 (or 8131 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 111013662100 its reverse (1266310111), we get a palindrome (112279972211).

The spelling of 111013662100 in words is "one hundred eleven billion, thirteen million, six hundred sixty-two thousand, one hundred".