100100112131 has 2 divisors, whose sum is σ = 100100112132. Its totient is φ = 100100112130.

The previous prime is 100100112121. The next prime is 100100112157. The reversal of 100100112131 is 131211001001.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (131211001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100100112131 - 2¹⁴ = 100100095747 is a prime.

It is a super-2 number, since 2×100100112131² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100100112121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050056065 + 50050056066.

It is an arithmetic number, because the mean of its divisors is an integer number (50050056066).

Almost surely, 2^100100112131 is an apocalyptic number.

100100112131 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100112131 is an equidigital number, since it uses as much as digits as its factorization.

100100112131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 100100112131 its reverse (131211001001), we get a palindrome (231311113132).

The spelling of 100100112131 in words is "one hundred billion, one hundred million, one hundred twelve thousand, one hundred thirty-one".