102022000222122 has 12 divisors (see below), whose sum is σ = 221047667147970. Its totient is φ = 34007333407368.

The previous prime is 102022000222091. The next prime is 102022000222123. The reversal of 102022000222122 is 221222000220201.

102022000222122 is a `hidden beast` number, since 102 + 0 + 220 + 0 + 0 + 222 + 122 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83385588928041 + 18636411294081 = 9131571^2 + 4316991^2 .

It is a super-2 number, since 2×102022000222122² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5667888901229 = 102022000222122 / (1 + 0 + 2 + 0 + 2 + 2 + 0 + 0 + 0 + 2 + 2 + 2 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 102022000222095 and 102022000222104.

It is not an unprimeable number, because it can be changed into a prime (102022000222123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2833944450597 + ... + 2833944450632.

Almost surely, 2^{102022000222122} is an apocalyptic number.

102022000222122 is an abundant number, since it is smaller than the sum of its proper divisors (119025666925848).

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

102022000222122 is a wasteful number, since it uses less digits than its factorization.

102022000222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5667888901237 (or 5667888901234 counting only the distinct ones).

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

Adding to 102022000222122 its reverse (221222000220201), we get a palindrome (323244000442323).

The spelling of 102022000222122 in words is "one hundred two trillion, twenty-two billion, two hundred twenty-two thousand, one hundred twenty-two".