100111001002031 has 2 divisors, whose sum is σ = 100111001002032. Its totient is φ = 100111001002030.

The previous prime is 100111001001961. The next prime is 100111001002049. The reversal of 100111001002031 is 130200100111001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100111001002031 - 2²² = 100110996807727 is a prime.

It is a super-2 number, since 2×100111001002031² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111001002081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055500501015 + 50055500501016.

It is an arithmetic number, because the mean of its divisors is an integer number (50055500501016).

Almost surely, 2^{100111001002031} is an apocalyptic number.

100111001002031 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111001002031 is an equidigital number, since it uses as much as digits as its factorization.

100111001002031 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 100111001002031 its reverse (130200100111001), we get a palindrome (230311101113032).

The spelling of 100111001002031 in words is "one hundred trillion, one hundred eleven billion, one million, two thousand, thirty-one".