100202112202120 has 32 divisors (see below), whose sum is σ = 225685514827800. Its totient is φ = 40039820459008.

The previous prime is 100202112202111. The next prime is 100202112202151. The reversal of 100202112202120 is 21202211202001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 100046685447556 + 155426754564 = 10002334^2 + 394242^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100202112202094 and 100202112202103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1281973615 + ... + 1282051774.

Almost surely, 2^{100202112202120} is an apocalyptic number.

100202112202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202112202120 is an abundant number, since it is smaller than the sum of its proper divisors (125483402625680).

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

100202112202120 is a wasteful number, since it uses less digits than its factorization.

100202112202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2564026377 (or 2564026373 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100202112202120 its reverse (21202211202001), we get a palindrome (121404323404121).

The spelling of 100202112202120 in words is "one hundred trillion, two hundred two billion, one hundred twelve million, two hundred two thousand, one hundred twenty".