100120202120 has 16 divisors (see below), whose sum is σ = 225270454860. Its totient is φ = 40048080832.

The previous prime is 100120202111. The next prime is 100120202177. The reversal of 100120202120 is 21202021001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 100105163236 + 15038884 = 316394^2 + 3878^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1251502487 + ... + 1251502566.

Almost surely, 2^100120202120 is an apocalyptic number.

100120202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120202120 is an abundant number, since it is smaller than the sum of its proper divisors (125150252740).

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

100120202120 is a wasteful number, since it uses less digits than its factorization.

100120202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503005064 (or 2503005060 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100120202120 its reverse (21202021001), we get a palindrome (121322223121).

The spelling of 100120202120 in words is "one hundred billion, one hundred twenty million, two hundred two thousand, one hundred twenty".