2202102122112 has 160 divisors (see below), whose sum is σ = 6569455916100. Its totient is φ = 732237926400.

The previous prime is 2202102122107. The next prime is 2202102122131. The reversal of 2202102122112 is 2112212012022.

It is a happy number.

2202102122112 is a `hidden beast` number, since 220 + 21 + 0 + 212 + 211 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2039938053696 + 162164068416 = 1428264^2 + 402696^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3980862 + ... + 4500162.

Almost surely, 2^{2202102122112} 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 2202102122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284727958050).

2202102122112 is an abundant number, since it is smaller than the sum of its proper divisors (4367353793988).

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

2202102122112 is an equidigital number, since it uses as much as digits as its factorization.

2202102122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519736 (or 519715 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2202102122112 its reverse (2112212012022), we get a palindrome (4314314134134).

The spelling of 2202102122112 in words is "two trillion, two hundred two billion, one hundred two million, one hundred twenty-two thousand, one hundred twelve".