100213002132 has 48 divisors (see below), whose sum is σ = 237004830720. Its totient is φ = 32952572928.

The previous prime is 100213002121. The next prime is 100213002137. The reversal of 100213002132 is 231200312001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100213002137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354093 + ... + 570795.

It is an arithmetic number, because the mean of its divisors is an integer number (4937600640).

Almost surely, 2^100213002132 is an apocalyptic number.

100213002132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100213002132 is an abundant number, since it is smaller than the sum of its proper divisors (136791828588).

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

100213002132 is a wasteful number, since it uses less digits than its factorization.

100213002132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217232 (or 217230 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100213002132 its reverse (231200312001), we get a palindrome (331413314133).

The spelling of 100213002132 in words is "one hundred billion, two hundred thirteen million, two thousand, one hundred thirty-two".