101042211013 has 2 divisors, whose sum is σ = 101042211014. Its totient is φ = 101042211012.

The previous prime is 101042211001. The next prime is 101042211059. The reversal of 101042211013 is 310112240101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82645900324 + 18396310689 = 287482^2 + 135633^2 .

It is an emirp because it is prime and its reverse (310112240101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101042211013 - 2⁵ = 101042210981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101042211073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50521105506 + 50521105507.

It is an arithmetic number, because the mean of its divisors is an integer number (50521105507).

Almost surely, 2^101042211013 is an apocalyptic number.

It is an amenable number.

101042211013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101042211013 is an equidigital number, since it uses as much as digits as its factorization.

101042211013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 101042211013 its reverse (310112240101), we get a palindrome (411154451114).

The spelling of 101042211013 in words is "one hundred one billion, forty-two million, two hundred eleven thousand, thirteen".