2122106254016 has 112 divisors (see below), whose sum is σ = 5114131154496. Its totient is φ = 852884619264.

The previous prime is 2122106253989. The next prime is 2122106254027. The reversal of 2122106254016 is 6104526012212.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2122106254016² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 1606676 + ... + 2612588.

It is an arithmetic number, because the mean of its divisors is an integer number (45661885308).

Almost surely, 2^{2122106254016} 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 2122106254016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557065577248).

2122106254016 is an abundant number, since it is smaller than the sum of its proper divisors (2992024900480).

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

2122106254016 is a wasteful number, since it uses less digits than its factorization.

2122106254016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006226 (or 1006216 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 2122106254016 in words is "two trillion, one hundred twenty-two billion, one hundred six million, two hundred fifty-four thousand, sixteen".