101011010110921 has 2 divisors, whose sum is σ = 101011010110922. Its totient is φ = 101011010110920.

The previous prime is 101011010110889. The next prime is 101011010110937. The reversal of 101011010110921 is 129011010110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55522244255625 + 45488765855296 = 7451325^2 + 6744536^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011010110921 - 2⁵ = 101011010110889 is a prime.

It is not a weakly prime, because it can be changed into another prime (101011010140921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505505055460 + 50505505055461.

It is an arithmetic number, because the mean of its divisors is an integer number (50505505055461).

Almost surely, 2^{101011010110921} is an apocalyptic number.

It is an amenable number.

101011010110921 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011010110921 is an equidigital number, since it uses as much as digits as its factorization.

101011010110921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 19.

The spelling of 101011010110921 in words is "one hundred one trillion, eleven billion, ten million, one hundred ten thousand, nine hundred twenty-one".