100202100002220 has 96 divisors (see below), whose sum is σ = 281874917338560. Its totient is φ = 26595975168000.

The previous prime is 100202100002209. The next prime is 100202100002239. The reversal of 100202100002220 is 22200001202001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100202100002196 and 100202100002205.

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 31 ways as a sum of consecutive naturals, for example, 36259470 + ... + 38924970.

It is an arithmetic number, because the mean of its divisors is an integer number (2936197055610).

Almost surely, 2^{100202100002220} is an apocalyptic number.

100202100002220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202100002220 is an abundant number, since it is smaller than the sum of its proper divisors (181672817336340).

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

100202100002220 is a wasteful number, since it uses less digits than its factorization.

100202100002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668435 (or 2668433 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100202100002220 its reverse (22200001202001), we get a palindrome (122402101204221).

The spelling of 100202100002220 in words is "one hundred trillion, two hundred two billion, one hundred million, two thousand, two hundred twenty".