101012020001117 has 2 divisors, whose sum is σ = 101012020001118. Its totient is φ = 101012020001116.

The previous prime is 101012020000993. The next prime is 101012020001227. The reversal of 101012020001117 is 711100020210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100680072330916 + 331947670201 = 10033946^2 + 576149^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012020001117 - 2²² = 101012015806813 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101012020001095 and 101012020001104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101012020021117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506010000558 + 50506010000559.

It is an arithmetic number, because the mean of its divisors is an integer number (50506010000559).

Almost surely, 2^{101012020001117} is an apocalyptic number.

It is an amenable number.

101012020001117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012020001117 is an equidigital number, since it uses as much as digits as its factorization.

101012020001117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 101012020001117 its reverse (711100020210101), we get a palindrome (812112040211218).

The spelling of 101012020001117 in words is "one hundred one trillion, twelve billion, twenty million, one thousand, one hundred seventeen".