120100202172 has 96 divisors (see below), whose sum is σ = 314492855040. Its totient is φ = 39632518080.

The previous prime is 120100202171. The next prime is 120100202219. The reversal of 120100202172 is 271202001021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120100202171) by changing a digit.

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, 24623398 + ... + 24628274.

It is an arithmetic number, because the mean of its divisors is an integer number (3275967240).

Almost surely, 2^120100202172 is an apocalyptic number.

120100202172 is a gapful number since it is divisible by the number (12) 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 120100202172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157246427520).

120100202172 is an abundant number, since it is smaller than the sum of its proper divisors (194392652868).

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

120100202172 is a wasteful number, since it uses less digits than its factorization.

120100202172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7128 (or 7120 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 120100202172 its reverse (271202001021), we get a palindrome (391302203193).

The spelling of 120100202172 in words is "one hundred twenty billion, one hundred million, two hundred two thousand, one hundred seventy-two".