100102131 has 24 divisors (see below), whose sum is σ = 153305984. Its totient is φ = 62830080.

The previous prime is 100102129. The next prime is 100102133. The reversal of 100102131 is 131201001.

It is an interprime number because it is at equal distance from previous prime (100102129) and next prime (100102133).

It is not a de Polignac number, because 100102131 - 2¹ = 100102129 is a prime.

It is a super-2 number, since 2×100102131² = 20040873261482322, which contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100102133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5475 + ... + 15171.

Almost surely, 2^100102131 is an apocalyptic number.

100102131 is a deficient number, since it is larger than the sum of its proper divisors (53203853).

100102131 is a wasteful number, since it uses less digits than its factorization.

100102131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9771 (or 9768 counting only the distinct ones).

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

The square root of 100102131 is about 10005.1052468227. The cubic root of 100102131 is about 464.3168463002.

Adding to 100102131 its reverse (131201001), we get a palindrome (231303132).

The spelling of 100102131 in words is "one hundred million, one hundred two thousand, one hundred thirty-one".