2100216132 has 72 divisors (see below), whose sum is σ = 6150458496. Its totient is φ = 591836544.

The previous prime is 2100216127. The next prime is 2100216133. The reversal of 2100216132 is 2316120012.

It is a super-2 number, since 2×2100216132² = 8821815602226082848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2100216133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38688 + ... + 75479.

Almost surely, 2^2100216132 is an apocalyptic number.

It is an amenable number.

2100216132 is an abundant number, since it is smaller than the sum of its proper divisors (4050242364).

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

2100216132 is a wasteful number, since it uses less digits than its factorization.

2100216132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114257 (or 114252 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2100216132 is about 45828.1150823378. The cubic root of 2100216132 is about 1280.6230958830.

Adding to 2100216132 its reverse (2316120012), we get a palindrome (4416336144).

It can be divided in two parts, 210021 and 6132, that added together give a triangular number (216153 = T₆₅₇).

The spelling of 2100216132 in words is "two billion, one hundred million, two hundred sixteen thousand, one hundred thirty-two".