100022113 has 2 divisors, whose sum is σ = 100022114. Its totient is φ = 100022112.

The previous prime is 100022107. The next prime is 100022123. The reversal of 100022113 is 311220001.

It is an a-pointer prime, because the next prime (100022123) can be obtained adding 100022113 to its sum of digits (10).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72386064 + 27636049 = 8508^2 + 5257^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100022113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100022113.

It is not a weakly prime, because it can be changed into another prime (100022123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011056 + 50011057.

It is an arithmetic number, because the mean of its divisors is an integer number (50011057).

Almost surely, 2^100022113 is an apocalyptic number.

It is an amenable number.

100022113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022113 is an equidigital number, since it uses as much as digits as its factorization.

100022113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 100022113 is about 10001.1055888837. The cubic root of 100022113 is about 464.1930939910.

Adding to 100022113 its reverse (311220001), we get a palindrome (411242114).

The spelling of 100022113 in words is "one hundred million, twenty-two thousand, one hundred thirteen".