100212042131 has 2 divisors, whose sum is σ = 100212042132. Its totient is φ = 100212042130.

The previous prime is 100212042113. The next prime is 100212042179. The reversal of 100212042131 is 131240212001.

Together with previous prime (100212042113) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100212042131 is a prime.

It is a super-2 number, since 2×100212042131² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100212042181) 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 as a sum of consecutive naturals, namely, 50106021065 + 50106021066.

It is an arithmetic number, because the mean of its divisors is an integer number (50106021066).

Almost surely, 2^100212042131 is an apocalyptic number.

100212042131 is a deficient number, since it is larger than the sum of its proper divisors (1).

100212042131 is an equidigital number, since it uses as much as digits as its factorization.

100212042131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 100212042131 its reverse (131240212001), we get a palindrome (231452254132).

The spelling of 100212042131 in words is "one hundred billion, two hundred twelve million, forty-two thousand, one hundred thirty-one".