101131023101 has 2 divisors, whose sum is σ = 101131023102. Its totient is φ = 101131023100.

The previous prime is 101131023067. The next prime is 101131023197. The reversal of 101131023101 is 101320131101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93574198201 + 7556824900 = 305899^2 + 86930^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101131023101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101131023601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50565511550 + 50565511551.

It is an arithmetic number, because the mean of its divisors is an integer number (50565511551).

Almost surely, 2^101131023101 is an apocalyptic number.

It is an amenable number.

101131023101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101131023101 is an equidigital number, since it uses as much as digits as its factorization.

101131023101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 101131023101 its reverse (101320131101), we get a palindrome (202451154202).

The spelling of 101131023101 in words is "one hundred one billion, one hundred thirty-one million, twenty-three thousand, one hundred one".