20220122102202 has 192 divisors, whose sum is σ = 51383661189120. Its totient is φ = 5684151369600.

The previous prime is 20220122102183. The next prime is 20220122102209.

20220122102202 is a `hidden beast` number, since 2 + 0 + 220 + 1 + 221 + 0 + 220 + 2 = 666.

20220122102202 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (20220122102209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52209949 + ... + 52595807.

It is an arithmetic number, because the mean of its divisors is an integer number (267623235360).

Almost surely, 2^{20220122102202} is an apocalyptic number.

20220122102202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20220122102202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25691830594560).

20220122102202 is an abundant number, since it is smaller than the sum of its proper divisors (31163539086918).

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

20220122102202 is a wasteful number, since it uses less digits than its factorization.

20220122102202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386249 (or 386246 counting only the distinct ones).

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

It can be divided in two parts, 2022012 and 2102202, that added together give a palindrome (4124214).

The spelling of 20220122102202 in words is "twenty trillion, two hundred twenty billion, one hundred twenty-two million, one hundred two thousand, two hundred two".