210100111221120 has 128 divisors (see below), whose sum is σ = 670776005088000. Its totient is φ = 55936184383488.

The previous prime is 210100111221109. The next prime is 210100111221197. The reversal of 210100111221120 is 21122111001012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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 210100111221120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87201780 + ... + 89578739.

It is an arithmetic number, because the mean of its divisors is an integer number (5240437539750).

Almost surely, 2^{210100111221120} is an apocalyptic number.

210100111221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210100111221120 is an abundant number, since it is smaller than the sum of its proper divisors (460675893866880).

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

210100111221120 is a wasteful number, since it uses less digits than its factorization.

210100111221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176781160 (or 176781148 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 210100111221120 its reverse (21122111001012), we get a palindrome (231222222222132).

The spelling of 210100111221120 in words is "two hundred ten trillion, one hundred billion, one hundred eleven million, two hundred twenty-one thousand, one hundred twenty".