100126131 has 16 divisors (see below), whose sum is σ = 152730624. Its totient is φ = 57155904.

The previous prime is 100126129. The next prime is 100126133. The reversal of 100126131 is 131621001.

It is an interprime number because it is at equal distance from previous prime (100126129) and next prime (100126133).

It is not a de Polignac number, because 100126131 - 2¹ = 100126129 is a prime.

It is a super-2 number, since 2×100126131² = 20050484218058322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100126131.

It is not an unprimeable number, because it can be changed into a prime (100126133) 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 15 ways as a sum of consecutive naturals, for example, 26071 + ... + 29663.

It is an arithmetic number, because the mean of its divisors is an integer number (9545664).

Almost surely, 2^100126131 is an apocalyptic number.

100126131 is a deficient number, since it is larger than the sum of its proper divisors (52604493).

100126131 is a wasteful number, since it uses less digits than its factorization.

100126131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4930.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 100126131 is about 10006.3045626245. The cubic root of 100126131 is about 464.3539507845.

Adding to 100126131 its reverse (131621001), we get a palindrome (231747132).

The spelling of 100126131 in words is "one hundred million, one hundred twenty-six thousand, one hundred thirty-one".