100112021131 has 2 divisors, whose sum is σ = 100112021132. Its totient is φ = 100112021130.

The previous prime is 100112021101. The next prime is 100112021153. The reversal of 100112021131 is 131120211001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100112021131 - 2⁵ = 100112021099 is a prime.

It is a super-2 number, since 2×100112021131² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100112021101) 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, 50056010565 + 50056010566.

It is an arithmetic number, because the mean of its divisors is an integer number (50056010566).

Almost surely, 2^100112021131 is an apocalyptic number.

100112021131 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112021131 is an equidigital number, since it uses as much as digits as its factorization.

100112021131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 100112021131 its reverse (131120211001), we get a palindrome (231232232132).

The spelling of 100112021131 in words is "one hundred billion, one hundred twelve million, twenty-one thousand, one hundred thirty-one".