101122010020973 has 2 divisors, whose sum is σ = 101122010020974. Its totient is φ = 101122010020972.

The previous prime is 101122010020963. The next prime is 101122010021023. The reversal of 101122010020973 is 379020010221101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68019903666724 + 33102106354249 = 8247418^2 + 5753443^2 .

It is an emirp because it is prime and its reverse (379020010221101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101122010020973 - 2¹² = 101122010016877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101122010020903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561005010486 + 50561005010487.

It is an arithmetic number, because the mean of its divisors is an integer number (50561005010487).

Almost surely, 2^{101122010020973} is an apocalyptic number.

It is an amenable number.

101122010020973 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122010020973 is an equidigital number, since it uses as much as digits as its factorization.

101122010020973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 29.

The spelling of 101122010020973 in words is "one hundred one trillion, one hundred twenty-two billion, ten million, twenty thousand, nine hundred seventy-three".