2100031101102 has 128 divisors (see below), whose sum is σ = 4678220574720. Its totient is φ = 623163663360.

The previous prime is 2100031101067. The next prime is 2100031101109. The reversal of 2100031101102 is 2011011300012.

It is a super-2 number, since 2×2100031101102² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100031101109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 273188703 + ... + 273196389.

It is an arithmetic number, because the mean of its divisors is an integer number (36548598240).

Almost surely, 2^{2100031101102} is an apocalyptic number.

2100031101102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100031101102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339110287360).

2100031101102 is an abundant number, since it is smaller than the sum of its proper divisors (2578189473618).

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

2100031101102 is a wasteful number, since it uses less digits than its factorization.

2100031101102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8246.

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

Adding to 2100031101102 its reverse (2011011300012), we get a palindrome (4111042401114).

The spelling of 2100031101102 in words is "two trillion, one hundred billion, thirty-one million, one hundred one thousand, one hundred two".