2100010100 has 36 divisors (see below), whose sum is σ = 4582519200. Its totient is φ = 835304160.

The previous prime is 2100010057. The next prime is 2100010109. The reversal of 2100010100 is 10100012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100010109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40760 + ... + 76559.

It is an arithmetic number, because the mean of its divisors is an integer number (127292200).

Almost surely, 2^2100010100 is an apocalyptic number.

2100010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100010100 is an abundant number, since it is smaller than the sum of its proper divisors (2482509100).

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

2100010100 is a wasteful number, since it uses less digits than its factorization.

2100010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117512 (or 117505 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 2100010100 is about 45825.8671494605. The cubic root of 2100010100 is about 1280.5812179762.

Adding to 2100010100 its reverse (10100012), we get a palindrome (2110110112).

The spelling of 2100010100 in words is "two billion, one hundred million, ten thousand, one hundred".