100202132120 has 64 divisors (see below), whose sum is σ = 235338264000. Its totient is φ = 38324994048.

The previous prime is 100202132099. The next prime is 100202132123. The reversal of 100202132120 is 21231202001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100202132095 and 100202132104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202132123) 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, 2898296 + ... + 2932664.

It is an arithmetic number, because the mean of its divisors is an integer number (3677160375).

Almost surely, 2^100202132120 is an apocalyptic number.

100202132120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202132120 is an abundant number, since it is smaller than the sum of its proper divisors (135136131880).

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

100202132120 is a wasteful number, since it uses less digits than its factorization.

100202132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37572 (or 37568 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100202132120 its reverse (21231202001), we get a palindrome (121433334121).

The spelling of 100202132120 in words is "one hundred billion, two hundred two million, one hundred thirty-two thousand, one hundred twenty".