100202201120 has 144 divisors (see below), whose sum is σ = 287350555968. Its totient is φ = 32861283840.

The previous prime is 100202201119. The next prime is 100202201131. The reversal of 100202201120 is 21102202001.

It is a happy number.

It is a super-2 number, since 2×100202201120² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97526 + ... + 458165.

It is an arithmetic number, because the mean of its divisors is an integer number (1995489972).

Almost surely, 2^100202201120 is an apocalyptic number.

100202201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202201120 is an abundant number, since it is smaller than the sum of its proper divisors (187148354848).

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

100202201120 is a wasteful number, since it uses less digits than its factorization.

100202201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555743 (or 555728 counting only the distinct ones).

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

Adding to 100202201120 its reverse (21102202001), we get a palindrome (121304403121).

The spelling of 100202201120 in words is "one hundred billion, two hundred two million, two hundred one thousand, one hundred twenty".