101200009997969 has 2 divisors, whose sum is σ = 101200009997970. Its totient is φ = 101200009997968.

The previous prime is 101200009997789. The next prime is 101200009997993. The reversal of 101200009997969 is 969799900002101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101143751850625 + 56258147344 = 10057025^2 + 237188^2 .

It is a cyclic number.

It is not a de Polignac number, because 101200009997969 - 2¹⁶ = 101200009932433 is a prime.

It is a super-2 number, since 2×101200009997969² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101200000997969) 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, 50600004998984 + 50600004998985.

It is an arithmetic number, because the mean of its divisors is an integer number (50600004998985).

Almost surely, 2^{101200009997969} is an apocalyptic number.

It is an amenable number.

101200009997969 is a deficient number, since it is larger than the sum of its proper divisors (1).

101200009997969 is an equidigital number, since it uses as much as digits as its factorization.

101200009997969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4960116, while the sum is 62.

The spelling of 101200009997969 in words is "one hundred one trillion, two hundred billion, nine million, nine hundred ninety-seven thousand, nine hundred sixty-nine".