100131112221 has 16 divisors (see below), whose sum is σ = 152591867904. Its totient is φ = 57213606384.

The previous prime is 100131112199. The next prime is 100131112243. The reversal of 100131112221 is 122211131001.

It is an interprime number because it is at equal distance from previous prime (100131112199) and next prime (100131112243).

It is not a de Polignac number, because 100131112221 - 2⁷ = 100131112093 is a prime.

It is a super-2 number, since 2×100131112221² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100131112221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131112261) 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 15 ways as a sum of consecutive naturals, for example, 133680 + ... + 467046.

It is an arithmetic number, because the mean of its divisors is an integer number (9536991744).

Almost surely, 2^100131112221 is an apocalyptic number.

It is an amenable number.

100131112221 is a deficient number, since it is larger than the sum of its proper divisors (52460755683).

100131112221 is a wasteful number, since it uses less digits than its factorization.

100131112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347680.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 100131112221 its reverse (122211131001), we get a palindrome (222342243222).

The spelling of 100131112221 in words is "one hundred billion, one hundred thirty-one million, one hundred twelve thousand, two hundred twenty-one".