2111112110100 has 288 divisors, whose sum is σ = 7464570736896. Its totient is φ = 449657856000.

The previous prime is 2111112110099. The next prime is 2111112110123. The reversal of 2111112110100 is 10112111112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3312954 + ... + 3898446.

It is an arithmetic number, because the mean of its divisors is an integer number (25918648392).

Almost surely, 2^{2111112110100} is an apocalyptic number.

2111112110100 is a gapful number since it is divisible by the number (20) 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 2111112110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3732285368448).

2111112110100 is an abundant number, since it is smaller than the sum of its proper divisors (5353458626796).

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

2111112110100 is a wasteful number, since it uses less digits than its factorization.

2111112110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585635 (or 585628 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2111112110100 its reverse (10112111112), we get a palindrome (2121224221212).

The spelling of 2111112110100 in words is "two trillion, one hundred eleven billion, one hundred twelve million, one hundred ten thousand, one hundred".