100202210100202 has 64 divisors (see below), whose sum is σ = 176873443649280. Its totient is φ = 41675282390016.

The previous prime is 100202210100199. The next prime is 100202210100241. The reversal of 100202210100202 is 202001012202001.

It is a happy number.

100202210100202 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1180014898 + ... + 1180099810.

It is an arithmetic number, because the mean of its divisors is an integer number (2763647557020).

Almost surely, 2^{100202210100202} is an apocalyptic number.

100202210100202 is a deficient number, since it is larger than the sum of its proper divisors (76671233549078).

100202210100202 is a wasteful number, since it uses less digits than its factorization.

100202210100202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90815.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100202210100202 its reverse (202001012202001), we get a palindrome (302203222302203).

It can be divided in two parts, 1002022 and 10100202, that added together give a square (11102224 = 3332²).

The spelling of 100202210100202 in words is "one hundred trillion, two hundred two billion, two hundred ten million, one hundred thousand, two hundred two".