101100202031 has 2 divisors, whose sum is σ = 101100202032. Its totient is φ = 101100202030.

The previous prime is 101100201991. The next prime is 101100202039. The reversal of 101100202031 is 130202001101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101100202031 - 2¹⁴ = 101100185647 is a prime.

It is a super-2 number, since 2×101100202031² (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 (101100202039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550101015 + 50550101016.

It is an arithmetic number, because the mean of its divisors is an integer number (50550101016).

Almost surely, 2^101100202031 is an apocalyptic number.

101100202031 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100202031 is an equidigital number, since it uses as much as digits as its factorization.

101100202031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 101100202031 its reverse (130202001101), we get a palindrome (231302203132).

The spelling of 101100202031 in words is "one hundred one billion, one hundred million, two hundred two thousand, thirty-one".