101022013133291 has 2 divisors, whose sum is σ = 101022013133292. Its totient is φ = 101022013133290.

The previous prime is 101022013133267. The next prime is 101022013133303. The reversal of 101022013133291 is 192331310220101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101022013133291 - 2³⁸ = 100747135226347 is a prime.

It is not a weakly prime, because it can be changed into another prime (101022013133201) 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, 50511006566645 + 50511006566646.

It is an arithmetic number, because the mean of its divisors is an integer number (50511006566646).

Almost surely, 2^{101022013133291} is an apocalyptic number.

101022013133291 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022013133291 is an equidigital number, since it uses as much as digits as its factorization.

101022013133291 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 29.

Adding to 101022013133291 its reverse (192331310220101), we get a palindrome (293353323353392).

The spelling of 101022013133291 in words is "one hundred one trillion, twenty-two billion, thirteen million, one hundred thirty-three thousand, two hundred ninety-one".