101111111200031 has 2 divisors, whose sum is σ = 101111111200032. Its totient is φ = 101111111200030.

The previous prime is 101111111199919. The next prime is 101111111200051. The reversal of 101111111200031 is 130002111111101.

It is a strong prime.

It is an emirp because it is prime and its reverse (130002111111101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101111111200031 is a prime.

It is a super-2 number, since 2×101111111200031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101111111199979 and 101111111200015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111111200051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555555600015 + 50555555600016.

It is an arithmetic number, because the mean of its divisors is an integer number (50555555600016).

Almost surely, 2^{101111111200031} is an apocalyptic number.

101111111200031 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111111200031 is an equidigital number, since it uses as much as digits as its factorization.

101111111200031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 101111111200031 its reverse (130002111111101), we get a palindrome (231113222311132).

The spelling of 101111111200031 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven million, two hundred thousand, thirty-one".