101211110099917 has 2 divisors, whose sum is σ = 101211110099918. Its totient is φ = 101211110099916.

The previous prime is 101211110099899. The next prime is 101211110100007. The reversal of 101211110099917 is 719990011112101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97117201297636 + 4093908802281 = 9854806^2 + 2023341^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211110099917 - 2²³ = 101211101711309 is a prime.

It is a super-3 number, since 3×101211110099917³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101211110099417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605555049958 + 50605555049959.

It is an arithmetic number, because the mean of its divisors is an integer number (50605555049959).

Almost surely, 2^{101211110099917} is an apocalyptic number.

It is an amenable number.

101211110099917 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211110099917 is an equidigital number, since it uses as much as digits as its factorization.

101211110099917 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10206, while the sum is 43.

The spelling of 101211110099917 in words is "one hundred one trillion, two hundred eleven billion, one hundred ten million, ninety-nine thousand, nine hundred seventeen".