2110101222112 has 72 divisors (see below), whose sum is σ = 4514300497224. Its totient is φ = 970450850304.

The previous prime is 2110101222109. The next prime is 2110101222113. The reversal of 2110101222112 is 2112221010112.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110101222113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 841098 + ... + 2219830.

It is an arithmetic number, because the mean of its divisors is an integer number (62698618017).

Almost surely, 2^{2110101222112} 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 2110101222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257150248612).

2110101222112 is an abundant number, since it is smaller than the sum of its proper divisors (2404199275112).

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

2110101222112 is a wasteful number, since it uses less digits than its factorization.

2110101222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379052 (or 1379031 counting only the distinct ones).

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

Adding to 2110101222112 its reverse (2112221010112), we get a palindrome (4222322232224).

The spelling of 2110101222112 in words is "two trillion, one hundred ten billion, one hundred one million, two hundred twenty-two thousand, one hundred twelve".