210112220101120 has 160 divisors (see below), whose sum is σ = 525750859434240. Its totient is φ = 80379959869440.

The previous prime is 210112220101037. The next prime is 210112220101163. The reversal of 210112220101120 is 21101022211012.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 210112220101094 and 210112220101103.

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, 444955701 + ... + 445427659.

It is an arithmetic number, because the mean of its divisors is an integer number (3285942871464).

Almost surely, 2^{210112220101120} is an apocalyptic number.

210112220101120 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 210112220101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262875429717120).

210112220101120 is an abundant number, since it is smaller than the sum of its proper divisors (315638639333120).

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

210112220101120 is an equidigital number, since it uses as much as digits as its factorization.

210112220101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479566 (or 479550 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 210112220101120 its reverse (21101022211012), we get a palindrome (231213242312132).

The spelling of 210112220101120 in words is "two hundred ten trillion, one hundred twelve billion, two hundred twenty million, one hundred one thousand, one hundred twenty".