100202010112120 has 192 divisors, whose sum is σ = 268098602664960. Its totient is φ = 33591993120000.

The previous prime is 100202010112117. The next prime is 100202010112163. The reversal of 100202010112120 is 21211010202001.

It is a self number, because there is not a number n which added to its sum of digits gives 100202010112120.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 96300645 + ... + 97335595.

It is an arithmetic number, because the mean of its divisors is an integer number (1396346888880).

Almost surely, 2^{100202010112120} is an apocalyptic number.

100202010112120 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 100202010112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134049301332480).

100202010112120 is an abundant number, since it is smaller than the sum of its proper divisors (167896592552840).

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

100202010112120 is a wasteful number, since it uses less digits than its factorization.

100202010112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036074 (or 1036063 counting only the distinct ones).

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

Adding to 100202010112120 its reverse (21211010202001), we get a palindrome (121413020314121).

The spelling of 100202010112120 in words is "one hundred trillion, two hundred two billion, ten million, one hundred twelve thousand, one hundred twenty".