101310110021 has 2 divisors, whose sum is σ = 101310110022. Its totient is φ = 101310110020.

The previous prime is 101310110009. The next prime is 101310110023. The reversal of 101310110021 is 120011013101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94734684100 + 6575425921 = 307790^2 + 81089^2 .

It is a cyclic number.

It is not a de Polignac number, because 101310110021 - 2²² = 101305915717 is a prime.

Together with 101310110023, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 101310109984 and 101310110011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101310110023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50655055010 + 50655055011.

It is an arithmetic number, because the mean of its divisors is an integer number (50655055011).

Almost surely, 2^101310110021 is an apocalyptic number.

It is an amenable number.

101310110021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101310110021 is an equidigital number, since it uses as much as digits as its factorization.

101310110021 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 11.

Adding to 101310110021 its reverse (120011013101), we get a palindrome (221321123122).

The spelling of 101310110021 in words is "one hundred one billion, three hundred ten million, one hundred ten thousand, twenty-one".