2110101001100 has 36 divisors (see below), whose sum is σ = 4848267362904. Its totient is φ = 794390964480.

The previous prime is 2110101001097. The next prime is 2110101001109. The reversal of 2110101001100 is 11001010112.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2110101001109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 620616242 + ... + 620619641.

It is an arithmetic number, because the mean of its divisors is an integer number (134674093414).

Almost surely, 2^{2110101001100} is an apocalyptic number.

2110101001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2110101001100 is an abundant number, since it is smaller than the sum of its proper divisors (2738166361804).

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

2110101001100 is a wasteful number, since it uses less digits than its factorization.

2110101001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241235914 (or 1241235907 counting only the distinct ones).

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

Adding to 2110101001100 its reverse (11001010112), we get a palindrome (2121102011212).

The spelling of 2110101001100 in words is "two trillion, one hundred ten billion, one hundred one million, one thousand, one hundred".