101022012010009 has 2 divisors, whose sum is σ = 101022012010010. Its totient is φ = 101022012010008.

The previous prime is 101022012009991. The next prime is 101022012010093. The reversal of 101022012010009 is 900010210220101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98831493608409 + 2190518401600 = 9941403^2 + 1480040^2 .

It is a cyclic number.

It is not a de Polignac number, because 101022012010009 - 2⁷ = 101022012009881 is a prime.

It is not a weakly prime, because it can be changed into another prime (101022012010099) 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, 50511006005004 + 50511006005005.

It is an arithmetic number, because the mean of its divisors is an integer number (50511006005005).

Almost surely, 2^{101022012010009} is an apocalyptic number.

It is an amenable number.

101022012010009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022012010009 is an equidigital number, since it uses as much as digits as its factorization.

101022012010009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 101022012010009 in words is "one hundred one trillion, twenty-two billion, twelve million, ten thousand, nine".