111103882913100 has 1728 divisors, whose sum is σ = 466965127319040. Its totient is φ = 20028189081600.

The previous prime is 111103882913087. The next prime is 111103882913143. The reversal of 111103882913100 is 1319288301111.

It is a super-2 number, since 2×111103882913100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1932447954 + ... + 1932505446.

It is an arithmetic number, because the mean of its divisors is an integer number (270234448680).

Almost surely, 2^{111103882913100} is an apocalyptic number.

111103882913100 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 111103882913100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233482563659520).

111103882913100 is an abundant number, since it is smaller than the sum of its proper divisors (355861244405940).

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

111103882913100 is a wasteful number, since it uses less digits than its factorization.

111103882913100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57608 (or 57594 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 39.

The spelling of 111103882913100 in words is "one hundred eleven trillion, one hundred three billion, eight hundred eighty-two million, nine hundred thirteen thousand, one hundred".