101100133021 has 2 divisors, whose sum is σ = 101100133022. Its totient is φ = 101100133020.

The previous prime is 101100133019. The next prime is 101100133031. The reversal of 101100133021 is 120331001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89347188100 + 11752944921 = 298910^2 + 108411^2 .

It is an emirp because it is prime and its reverse (120331001101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101100133021 - 2¹ = 101100133019 is a prime.

Together with 101100133019, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 101100132992 and 101100133010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100133031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550066510 + 50550066511.

It is an arithmetic number, because the mean of its divisors is an integer number (50550066511).

Almost surely, 2^101100133021 is an apocalyptic number.

It is an amenable number.

101100133021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100133021 is an equidigital number, since it uses as much as digits as its factorization.

101100133021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 101100133021 its reverse (120331001101), we get a palindrome (221431134122).

The spelling of 101100133021 in words is "one hundred one billion, one hundred million, one hundred thirty-three thousand, twenty-one".