210112002211120 has 80 divisors (see below), whose sum is σ = 489466422144000. Its totient is φ = 83880417464064.

The previous prime is 210112002211061. The next prime is 210112002211193. The reversal of 210112002211120 is 21112200211012.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 210112002211094 and 210112002211103.

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, 144817441 + ... + 146261119.

It is an arithmetic number, because the mean of its divisors is an integer number (6118330276800).

Almost surely, 2^{210112002211120} is an apocalyptic number.

210112002211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210112002211120 is an abundant number, since it is smaller than the sum of its proper divisors (279354419932880).

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

210112002211120 is a wasteful number, since it uses less digits than its factorization.

210112002211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447250 (or 1447244 counting only the distinct ones).

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

Adding to 210112002211120 its reverse (21112200211012), we get a palindrome (231224202422132).

The spelling of 210112002211120 in words is "two hundred ten trillion, one hundred twelve billion, two million, two hundred eleven thousand, one hundred twenty".