100100001031 has 2 divisors, whose sum is σ = 100100001032. Its totient is φ = 100100001030.

The previous prime is 100100000993. The next prime is 100100001041. The reversal of 100100001031 is 130100001001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100100001031 - 2⁹ = 100100000519 is a prime.

It is a super-2 number, since 2×100100001031² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100001041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050000515 + 50050000516.

It is an arithmetic number, because the mean of its divisors is an integer number (50050000516).

Almost surely, 2^100100001031 is an apocalyptic number.

100100001031 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100001031 is an equidigital number, since it uses as much as digits as its factorization.

100100001031 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 7.

Adding to 100100001031 its reverse (130100001001), we get a palindrome (230200002032).

The spelling of 100100001031 in words is "one hundred billion, one hundred million, one thousand, thirty-one".