2202102101322 has 128 divisors (see below), whose sum is σ = 5078816640000. Its totient is φ = 706414818816.

The previous prime is 2202102101321. The next prime is 2202102101369. The reversal of 2202102101322 is 2231012012022.

2202102101322 is a `hidden beast` number, since 220 + 21 + 0 + 2 + 101 + 322 = 666.

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 = 2202102101295 and 2202102101304.

It is not an unprimeable number, because it can be changed into a prime (2202102101321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 899917903 + ... + 899920349.

It is an arithmetic number, because the mean of its divisors is an integer number (39678255000).

Almost surely, 2^{2202102101322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202102101322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539408320000).

2202102101322 is an abundant number, since it is smaller than the sum of its proper divisors (2876714538678).

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

2202102101322 is a wasteful number, since it uses less digits than its factorization.

2202102101322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4125 (or 4119 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2202102101322 its reverse (2231012012022), we get a palindrome (4433114113344).

The spelling of 2202102101322 in words is "two trillion, two hundred two billion, one hundred two million, one hundred one thousand, three hundred twenty-two".