101210122009813 has 2 divisors, whose sum is σ = 101210122009814. Its totient is φ = 101210122009812.

The previous prime is 101210122009781. The next prime is 101210122010003. The reversal of 101210122009813 is 318900221012101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96270673544644 + 4939448465169 = 9811762^2 + 2222487^2 .

It is a cyclic number.

It is not a de Polignac number, because 101210122009813 - 2⁵ = 101210122009781 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101210122009613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605061004906 + 50605061004907.

It is an arithmetic number, because the mean of its divisors is an integer number (50605061004907).

Almost surely, 2^{101210122009813} is an apocalyptic number.

It is an amenable number.

101210122009813 is a deficient number, since it is larger than the sum of its proper divisors (1).

101210122009813 is an equidigital number, since it uses as much as digits as its factorization.

101210122009813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 31.

The spelling of 101210122009813 in words is "one hundred one trillion, two hundred ten billion, one hundred twenty-two million, nine thousand, eight hundred thirteen".