100202121100120 has 256 divisors, whose sum is σ = 245722930992000. Its totient is φ = 36554029940736.

The previous prime is 100202121100117. The next prime is 100202121100127. The reversal of 100202121100120 is 21001121202001.

It is a super-2 number, since 2×100202121100120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 100202121100120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202121100127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38056254324 + ... + 38056256956.

Almost surely, 2^{100202121100120} is an apocalyptic number.

100202121100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100202121100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122861465496000).

100202121100120 is an abundant number, since it is smaller than the sum of its proper divisors (145520809891880).

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

100202121100120 is a wasteful number, since it uses less digits than its factorization.

100202121100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4422 (or 4418 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100202121100120 its reverse (21001121202001), we get a palindrome (121203242302121).

The spelling of 100202121100120 in words is "one hundred trillion, two hundred two billion, one hundred twenty-one million, one hundred thousand, one hundred twenty".