210100220121120 has 384 divisors, whose sum is σ = 780844083167232. Its totient is φ = 46468748390400.

The previous prime is 210100220121109. The next prime is 210100220121131. The reversal of 210100220121120 is 21121022001012.

It is an interprime number because it is at equal distance from previous prime (210100220121109) and next prime (210100220121131).

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 210100220121120.

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 63 ways as a sum of consecutive naturals, for example, 1006185367 + ... + 1006394153.

It is an arithmetic number, because the mean of its divisors is an integer number (2033448133248).

Almost surely, 2^{210100220121120} is an apocalyptic number.

210100220121120 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 210100220121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390422041583616).

210100220121120 is an abundant number, since it is smaller than the sum of its proper divisors (570743863046112).

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

210100220121120 is a wasteful number, since it uses less digits than its factorization.

210100220121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218504 (or 218496 counting only the distinct ones).

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

Adding to 210100220121120 its reverse (21121022001012), we get a palindrome (231221242122132).

The spelling of 210100220121120 in words is "two hundred ten trillion, one hundred billion, two hundred twenty million, one hundred twenty-one thousand, one hundred twenty".