100100110101031 has 2 divisors, whose sum is σ = 100100110101032. Its totient is φ = 100100110101030.

The previous prime is 100100110101023. The next prime is 100100110101071. The reversal of 100100110101031 is 130101011001001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100100110101031 - 2³ = 100100110101023 is a prime.

It is a super-2 number, since 2×100100110101031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100100110100999 and 100100110101017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100110101071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050055050515 + 50050055050516.

It is an arithmetic number, because the mean of its divisors is an integer number (50050055050516).

Almost surely, 2^{100100110101031} is an apocalyptic number.

100100110101031 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100110101031 is an equidigital number, since it uses as much as digits as its factorization.

100100110101031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 100100110101031 its reverse (130101011001001), we get a palindrome (230201121102032).

The spelling of 100100110101031 in words is "one hundred trillion, one hundred billion, one hundred ten million, one hundred one thousand, thirty-one".