10222022002122 has 64 divisors (see below), whose sum is σ = 25972225920000. Its totient is φ = 2919280014000.

The previous prime is 10222022002043. The next prime is 10222022002141. The reversal of 10222022002122 is 22120022022201.

10222022002122 is a `hidden beast` number, since 10 + 2 + 220 + 220 + 0 + 212 + 2 = 666.

It is a super-2 number, since 2×10222022002122² (a number of 27 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 = 10222022002095 and 10222022002104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5155872 + ... + 6857627.

It is an arithmetic number, because the mean of its divisors is an integer number (405816030000).

Almost surely, 2^{10222022002122} is an apocalyptic number.

10222022002122 is an abundant number, since it is smaller than the sum of its proper divisors (15750203917878).

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

10222022002122 is a wasteful number, since it uses less digits than its factorization.

10222022002122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12015768 (or 12015762 counting only the distinct ones).

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

Adding to 10222022002122 its reverse (22120022022201), we get a palindrome (32342044024323).

The spelling of 10222022002122 in words is "ten trillion, two hundred twenty-two billion, twenty-two million, two thousand, one hundred twenty-two".