101201121109969 has 2 divisors, whose sum is σ = 101201121109970. Its totient is φ = 101201121109968.

The previous prime is 101201121109943. The next prime is 101201121109981. The reversal of 101201121109969 is 969901121102101.

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., 92488381599744 + 8712739510225 = 9617088^2 + 2951735^2 .

It is a cyclic number.

It is not a de Polignac number, because 101201121109969 - 2²³ = 101201112721361 is a prime.

It is a super-2 number, since 2×101201121109969² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101201121109169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600560554984 + 50600560554985.

It is an arithmetic number, because the mean of its divisors is an integer number (50600560554985).

Almost surely, 2^{101201121109969} is an apocalyptic number.

It is an amenable number.

101201121109969 is a deficient number, since it is larger than the sum of its proper divisors (1).

101201121109969 is an equidigital number, since it uses as much as digits as its factorization.

101201121109969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 43.

The spelling of 101201121109969 in words is "one hundred one trillion, two hundred one billion, one hundred twenty-one million, one hundred nine thousand, nine hundred sixty-nine".