2101002100100 has 144 divisors (see below), whose sum is σ = 4898024006400. Its totient is φ = 779896149120.

The previous prime is 2101002100097. The next prime is 2101002100111. The reversal of 2101002100100 is 10012001012.

It is a super-2 number, since 2×2101002100100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22740599 + ... + 22832801.

It is an arithmetic number, because the mean of its divisors is an integer number (34014055600).

Almost surely, 2^{2101002100100} is an apocalyptic number.

2101002100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101002100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449012003200).

2101002100100 is an abundant number, since it is smaller than the sum of its proper divisors (2797021906300).

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

2101002100100 is a wasteful number, since it uses less digits than its factorization.

2101002100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92482 (or 92475 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2101002100100 its reverse (10012001012), we get a palindrome (2111014101112).

The spelling of 2101002100100 in words is "two trillion, one hundred one billion, two million, one hundred thousand, one hundred".