2102022222012 has 144 divisors (see below), whose sum is σ = 5557521715200. Its totient is φ = 669097203840.

The previous prime is 2102022221993. The next prime is 2102022222023. The reversal of 2102022222012 is 2102222202012.

2102022222012 is a `hidden beast` number, since 210 + 2 + 0 + 222 + 220 + 12 = 666.

It is a super-3 number, since 3×2102022222012³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176057539 + ... + 176069477.

It is an arithmetic number, because the mean of its divisors is an integer number (38593900800).

Almost surely, 2^{2102022222012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102022222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778760857600).

2102022222012 is an abundant number, since it is smaller than the sum of its proper divisors (3455499493188).

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

2102022222012 is a wasteful number, since it uses less digits than its factorization.

2102022222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14056 (or 14051 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2102022222012 its reverse (2102222202012), we get a palindrome (4204244424024).

The spelling of 2102022222012 in words is "two trillion, one hundred two billion, twenty-two million, two hundred twenty-two thousand, twelve".