2100233211102 has 128 divisors (see below), whose sum is σ = 5296523904000. Its totient is φ = 611543986560.

The previous prime is 2100233211077. The next prime is 2100233211169. The reversal of 2100233211102 is 2011123320012.

2100233211102 is a `hidden beast` number, since 210 + 0 + 23 + 321 + 110 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12171952 + ... + 12343292.

It is an arithmetic number, because the mean of its divisors is an integer number (41379093000).

Almost surely, 2^{2100233211102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100233211102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648261952000).

2100233211102 is an abundant number, since it is smaller than the sum of its proper divisors (3196290692898).

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

2100233211102 is a wasteful number, since it uses less digits than its factorization.

2100233211102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172303 (or 172297 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2100233211102 its reverse (2011123320012), we get a palindrome (4111356531114).

The spelling of 2100233211102 in words is "two trillion, one hundred billion, two hundred thirty-three million, two hundred eleven thousand, one hundred two".