2100211110102 has 128 divisors (see below), whose sum is σ = 5208184396800. Its totient is φ = 550845296640.

The previous prime is 2100211110079. The next prime is 2100211110181. The reversal of 2100211110102 is 2010111120012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160327149 + ... + 160340247.

It is an arithmetic number, because the mean of its divisors is an integer number (40688940600).

Almost surely, 2^{2100211110102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100211110102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604092198400).

2100211110102 is an abundant number, since it is smaller than the sum of its proper divisors (3107973286698).

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

2100211110102 is a wasteful number, since it uses less digits than its factorization.

2100211110102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18646.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2100211110102 its reverse (2010111120012), we get a palindrome (4110322230114).

The spelling of 2100211110102 in words is "two trillion, one hundred billion, two hundred eleven million, one hundred ten thousand, one hundred two".