2202014102022 has 192 divisors, whose sum is σ = 5560943072256. Its totient is φ = 616799980800.

The previous prime is 2202014101961. The next prime is 2202014102023.

2202014102022 is a `hidden beast` number, since 220 + 201 + 41 + 0 + 202 + 2 = 666.

2202014102022 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2202014102022² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2202014101986 and 2202014102004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202014102023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 579018373 + ... + 579022175.

It is an arithmetic number, because the mean of its divisors is an integer number (28963245168).

Almost surely, 2^{2202014102022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202014102022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780471536128).

2202014102022 is an abundant number, since it is smaller than the sum of its proper divisors (3358928970234).

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

2202014102022 is a wasteful number, since it uses less digits than its factorization.

2202014102022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4355 (or 4352 counting only the distinct ones).

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

The spelling of 2202014102022 in words is "two trillion, two hundred two billion, fourteen million, one hundred two thousand, twenty-two".