210001202112120 has 256 divisors, whose sum is σ = 656365898764800. Its totient is φ = 53703714570240.

The previous prime is 210001202112029. The next prime is 210001202112157. The reversal of 210001202112120 is 21211202100012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 210001202112120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4280734632 + ... + 4280783688.

It is an arithmetic number, because the mean of its divisors is an integer number (2563929292050).

Almost surely, 2^{210001202112120} is an apocalyptic number.

210001202112120 is a gapful number since it is divisible by the number (20) 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 210001202112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328182949382400).

210001202112120 is an abundant number, since it is smaller than the sum of its proper divisors (446364696652680).

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

210001202112120 is a wasteful number, since it uses less digits than its factorization.

210001202112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63918 (or 63914 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 210001202112120 its reverse (21211202100012), we get a palindrome (231212404212132).

The spelling of 210001202112120 in words is "two hundred ten trillion, one billion, two hundred two million, one hundred twelve thousand, one hundred twenty".