100210131009 has 48 divisors (see below), whose sum is σ = 153182515200. Its totient is φ = 63055425888.

The previous prime is 100210130957. The next prime is 100210131139. The reversal of 100210131009 is 900131012001.

It is not a de Polignac number, because 100210131009 - 2⁹ = 100210130497 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100210130982 and 100210131000.

It is not an unprimeable number, because it can be changed into a prime (100210131409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1402062 + ... + 1471800.

It is an arithmetic number, because the mean of its divisors is an integer number (3191302400).

Almost surely, 2^100210131009 is an apocalyptic number.

It is an amenable number.

100210131009 is a deficient number, since it is larger than the sum of its proper divisors (52972384191).

100210131009 is a wasteful number, since it uses less digits than its factorization.

100210131009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69914 (or 69911 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The spelling of 100210131009 in words is "one hundred billion, two hundred ten million, one hundred thirty-one thousand, nine".