100022200113 has 48 divisors (see below), whose sum is σ = 148222767168. Its totient is φ = 59945424000.

The previous prime is 100022200097. The next prime is 100022200129. The reversal of 100022200113 is 311002220001.

It is an interprime number because it is at equal distance from previous prime (100022200097) and next prime (100022200129).

It is not a de Polignac number, because 100022200113 - 2⁴ = 100022200097 is a prime.

It is a super-3 number, since 3×100022200113³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (100022200183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50337306 + ... + 50339292.

It is an arithmetic number, because the mean of its divisors is an integer number (3087974316).

Almost surely, 2^100022200113 is an apocalyptic number.

It is an amenable number.

100022200113 is a deficient number, since it is larger than the sum of its proper divisors (48200567055).

100022200113 is a wasteful number, since it uses less digits than its factorization.

100022200113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3486 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100022200113 its reverse (311002220001), we get a palindrome (411024420114).

The spelling of 100022200113 in words is "one hundred billion, twenty-two million, two hundred thousand, one hundred thirteen".