101311012001 has 2 divisors, whose sum is σ = 101311012002. Its totient is φ = 101311012000.

The previous prime is 101311011979. The next prime is 101311012067. The reversal of 101311012001 is 100210113101.

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., 70352257600 + 30958754401 = 265240^2 + 175951^2 .

It is a cyclic number.

It is not a de Polignac number, because 101311012001 - 2³⁴ = 84131142817 is a prime.

It is not a weakly prime, because it can be changed into another prime (101311012081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50655506000 + 50655506001.

It is an arithmetic number, because the mean of its divisors is an integer number (50655506001).

Almost surely, 2^101311012001 is an apocalyptic number.

It is an amenable number.

101311012001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101311012001 is an equidigital number, since it uses as much as digits as its factorization.

101311012001 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 101311012001 its reverse (100210113101), we get a palindrome (201521125102).

The spelling of 101311012001 in words is "one hundred one billion, three hundred eleven million, twelve thousand, one".