100202121122120 has 64 divisors (see below), whose sum is σ = 227796619302000. Its totient is φ = 39664583884800.

The previous prime is 100202121122101. The next prime is 100202121122143. The reversal of 100202121122120 is 21221121202001.

100202121122120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 29573997487204 + 70628123634916 = 5438198^2 + 8404054^2 .

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 15 ways as a sum of consecutive naturals, for example, 49640570 + ... + 51619670.

Almost surely, 2^{100202121122120} is an apocalyptic number.

100202121122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202121122120 is an abundant number, since it is smaller than the sum of its proper divisors (127594498179880).

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

100202121122120 is a wasteful number, since it uses less digits than its factorization.

100202121122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992258 (or 1992254 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100202121122120 its reverse (21221121202001), we get a palindrome (121423242324121).

The spelling of 100202121122120 in words is "one hundred trillion, two hundred two billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty".