2100134100 has 108 divisors (see below), whose sum is σ = 6455114624. Its totient is φ = 527070720.

The previous prime is 2100134089. The next prime is 2100134119. The reversal of 2100134100 is 14310012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 74589 + ... + 98811.

Almost surely, 2^2100134100 is an apocalyptic number.

2100134100 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 2100134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227557312).

2100134100 is an abundant number, since it is smaller than the sum of its proper divisors (4354980524).

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

2100134100 is a wasteful number, since it uses less digits than its factorization.

2100134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24274 (or 24250 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2100134100 is about 45827.2200771550. The cubic root of 2100134100 is about 1280.6064224495.

Adding to 2100134100 its reverse (14310012), we get a palindrome (2114444112).

The spelling of 2100134100 in words is "two billion, one hundred million, one hundred thirty-four thousand, one hundred".