2110011001100 has 72 divisors (see below), whose sum is σ = 4625149471488. Its totient is φ = 835453684800.

The previous prime is 2110011001079. The next prime is 2110011001123. The reversal of 2110011001100 is 11001100112.

It is a happy number.

2110011001100 is a modest number, since divided by 11001100 gives 21100 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24790817 + ... + 24875783.

It is an arithmetic number, because the mean of its divisors is an integer number (64238187104).

Almost surely, 2^{2110011001100} is an apocalyptic number.

2110011001100 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 2110011001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312574735744).

2110011001100 is an abundant number, since it is smaller than the sum of its proper divisors (2515138470388).

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

2110011001100 is a wasteful number, since it uses less digits than its factorization.

2110011001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87495 (or 87488 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 2110011001100 its reverse (11001100112), we get a palindrome (2121012101212).

The spelling of 2110011001100 in words is "two trillion, one hundred ten billion, eleven million, one thousand, one hundred".