101022101100689 has 2 divisors, whose sum is σ = 101022101100690. Its totient is φ = 101022101100688.

The previous prime is 101022101100673. The next prime is 101022101100707. The reversal of 101022101100689 is 986001101220101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99223672587664 + 1798428513025 = 9961108^2 + 1341055^2 .

It is a cyclic number.

It is not a de Polignac number, because 101022101100689 - 2⁴ = 101022101100673 is a prime.

It is not a weakly prime, because it can be changed into another prime (101022101100619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511050550344 + 50511050550345.

It is an arithmetic number, because the mean of its divisors is an integer number (50511050550345).

Almost surely, 2^{101022101100689} is an apocalyptic number.

It is an amenable number.

101022101100689 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022101100689 is an equidigital number, since it uses as much as digits as its factorization.

101022101100689 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 32.

The spelling of 101022101100689 in words is "one hundred one trillion, twenty-two billion, one hundred one million, one hundred thousand, six hundred eighty-nine".