10002202222122 has 72 divisors (see below), whose sum is σ = 24066246126468. Its totient is φ = 2999723189760.

The previous prime is 10002202222087. The next prime is 10002202222123. The reversal of 10002202222122 is 22122220220001.

10002202222122 is a `hidden beast` number, since 10 + 0 + 0 + 220 + 222 + 212 + 2 = 666.

10002202222122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9828845739801 + 173356482321 = 3135099^2 + 416361^2 .

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 = 10002202222095 and 10002202222104.

It is not an unprimeable number, because it can be changed into a prime (10002202222123) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23460793 + ... + 23883324.

Almost surely, 2^{10002202222122} is an apocalyptic number.

10002202222122 is an abundant number, since it is smaller than the sum of its proper divisors (14064043904346).

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

10002202222122 is a wasteful number, since it uses less digits than its factorization.

10002202222122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47344244 (or 47344230 counting only the distinct ones).

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

Adding to 10002202222122 its reverse (22122220220001), we get a palindrome (32124422442123).

The spelling of 10002202222122 in words is "ten trillion, two billion, two hundred two million, two hundred twenty-two thousand, one hundred twenty-two".