100102113 has 12 divisors (see below), whose sum is σ = 149578260. Its totient is φ = 64433376.

The previous prime is 100102081. The next prime is 100102129. The reversal of 100102113 is 311201001.

It can be written as a sum of positive squares in 2 ways, for example, as 47568609 + 52533504 = 6897^2 + 7248^2 .

It is not a de Polignac number, because 100102113 - 2⁵ = 100102081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100102095 and 100102104.

It is not an unprimeable number, because it can be changed into a prime (100102133) 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 11 ways as a sum of consecutive naturals, for example, 191506 + ... + 192027.

It is an arithmetic number, because the mean of its divisors is an integer number (12464855).

Almost surely, 2^100102113 is an apocalyptic number.

It is an amenable number.

100102113 is a deficient number, since it is larger than the sum of its proper divisors (49476147).

100102113 is a wasteful number, since it uses less digits than its factorization.

100102113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383568 (or 383565 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 100102113 is about 10005.1043472819. The cubic root of 100102113 is about 464.3168184696.

Adding to 100102113 its reverse (311201001), we get a palindrome (411303114).

The spelling of 100102113 in words is "one hundred million, one hundred two thousand, one hundred thirteen".