100122200113 has 8 divisors (see below), whose sum is σ = 107828910056. Its totient is φ = 92416204800.

The previous prime is 100122200069. The next prime is 100122200131. The reversal of 100122200113 is 311002221001.

It can be written as a sum of positive squares in 4 ways, for example, as 27793984 + 100094406129 = 5272^2 + 316377^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100122200113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100122200093 and 100122200102.

It is not an unprimeable number, because it can be changed into a prime (100122200173) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132403 + ... + 466663.

It is an arithmetic number, because the mean of its divisors is an integer number (13478613757).

Almost surely, 2^100122200113 is an apocalyptic number.

100122200113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100122200113 is a deficient number, since it is larger than the sum of its proper divisors (7706709943).

100122200113 is a wasteful number, since it uses less digits than its factorization.

100122200113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357315.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100122200113 its reverse (311002221001), we get a palindrome (411124421114).

The spelling of 100122200113 in words is "one hundred billion, one hundred twenty-two million, two hundred thousand, one hundred thirteen".