2110022102100 has 144 divisors (see below), whose sum is σ = 6874835982336. Its totient is φ = 495019824000.

The previous prime is 2110022102053. The next prime is 2110022102101. The reversal of 2110022102100 is 12012200112.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110022102101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10210614 + ... + 10415213.

It is an arithmetic number, because the mean of its divisors is an integer number (47741916544).

Almost surely, 2^{2110022102100} is an apocalyptic number.

2110022102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2110022102100 is an abundant number, since it is smaller than the sum of its proper divisors (4764813880236).

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

2110022102100 is a wasteful number, since it uses less digits than its factorization.

2110022102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20625886 (or 20625879 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2110022102100 its reverse (12012200112), we get a palindrome (2122034302212).

It can be divided in two parts, 2110022 and 102100, that added together give a palindrome (2212122).

The spelling of 2110022102100 in words is "two trillion, one hundred ten billion, twenty-two million, one hundred two thousand, one hundred".