100202121132 has 48 divisors (see below), whose sum is σ = 240245548032. Its totient is φ = 32481535680.

The previous prime is 100202121121. The next prime is 100202121137. The reversal of 100202121132 is 231121202001.

It is a super-2 number, since 2×100202121132² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100202121137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 836773 + ... + 948995.

It is an arithmetic number, because the mean of its divisors is an integer number (5005115584).

Almost surely, 2^100202121132 is an apocalyptic number.

100202121132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100202121132 is an abundant number, since it is smaller than the sum of its proper divisors (140043426900).

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

100202121132 is a wasteful number, since it uses less digits than its factorization.

100202121132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114278 (or 114276 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100202121132 its reverse (231121202001), we get a palindrome (331323323133).

The spelling of 100202121132 in words is "one hundred billion, two hundred two million, one hundred twenty-one thousand, one hundred thirty-two".