2101042100 has 36 divisors (see below), whose sum is σ = 4563835500. Its totient is φ = 839573760.

The previous prime is 2101042063. The next prime is 2101042123. The reversal of 2101042100 is 12401012.

It can be written as a sum of positive squares in 6 ways, for example, as 1752976 + 2099289124 = 1324^2 + 45818^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94886 + ... + 114914.

Almost surely, 2^2101042100 is an apocalyptic number.

2101042100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101042100 is an abundant number, since it is smaller than the sum of its proper divisors (2462793400).

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

2101042100 is a wasteful number, since it uses less digits than its factorization.

2101042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21092 (or 21085 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2101042100 is about 45837.1257824921. The cubic root of 2101042100 is about 1280.7909540140.

Adding to 2101042100 its reverse (12401012), we get a palindrome (2113443112).

The spelling of 2101042100 in words is "two billion, one hundred one million, forty-two thousand, one hundred".