2132121100 has 144 divisors (see below), whose sum is σ = 5129671680. Its totient is φ = 766022400.

The previous prime is 2132121097. The next prime is 2132121109. The reversal of 2132121100 is 11212312.

2132121100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2132121109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3121359 + ... + 3122041.

It is an arithmetic number, because the mean of its divisors is an integer number (35622720).

Almost surely, 2^2132121100 is an apocalyptic number.

2132121100 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 2132121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564835840).

2132121100 is an abundant number, since it is smaller than the sum of its proper divisors (2997550580).

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

2132121100 is a wasteful number, since it uses less digits than its factorization.

2132121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2132121100 is about 46174.8968596574. The cubic root of 2132121100 is about 1287.0753002717.

Adding to 2132121100 its reverse (11212312), we get a palindrome (2143333412).

The spelling of 2132121100 in words is "two billion, one hundred thirty-two million, one hundred twenty-one thousand, one hundred".