22130100103122 has 72 divisors (see below), whose sum is σ = 52713510769920. Its totient is φ = 6704852576400.

The previous prime is 22130100103099. The next prime is 22130100103147.

22130100103122 is a `hidden beast` number, since 221 + 30 + 100 + 1 + 0 + 312 + 2 = 666.

22130100103122 is nontrivially palindromic in base 10.

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 = 22130100103095 and 22130100103104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10893279 + ... + 12764157.

Almost surely, 2^{22130100103122} is an apocalyptic number.

22130100103122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22130100103122 is an abundant number, since it is smaller than the sum of its proper divisors (30583410666798).

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

22130100103122 is a wasteful number, since it uses less digits than its factorization.

22130100103122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876340 (or 1876326 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 22130100 and 103122, that added together give a palindrome (22233222).

The spelling of 22130100103122 in words is "twenty-two trillion, one hundred thirty billion, one hundred million, one hundred three thousand, one hundred twenty-two".