2110667221120 has 512 divisors, whose sum is σ = 5808014150400. Its totient is φ = 728432640000.

The previous prime is 2110667221111. The next prime is 2110667221133. The reversal of 2110667221120 is 211227660112.

It is a super-2 number, since 2×2110667221120² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1110292170 + ... + 1110294070.

Almost surely, 2^{2110667221120} is an apocalyptic number.

2110667221120 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 2110667221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904007075200).

2110667221120 is an abundant number, since it is smaller than the sum of its proper divisors (3697346929280).

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

2110667221120 is a wasteful number, since it uses less digits than its factorization.

2110667221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The spelling of 2110667221120 in words is "two trillion, one hundred ten billion, six hundred sixty-seven million, two hundred twenty-one thousand, one hundred twenty".