101800401217 has 2 divisors, whose sum is σ = 101800401218. Its totient is φ = 101800401216.

The previous prime is 101800401173. The next prime is 101800401221. The reversal of 101800401217 is 712104008101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100870395201 + 930006016 = 317601^2 + 30496^2 .

It is a cyclic number.

It is not a de Polignac number, because 101800401217 - 2⁷ = 101800401089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101800401191 and 101800401200.

It is not a weakly prime, because it can be changed into another prime (101800401277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50900200608 + 50900200609.

It is an arithmetic number, because the mean of its divisors is an integer number (50900200609).

Almost surely, 2^101800401217 is an apocalyptic number.

It is an amenable number.

101800401217 is a deficient number, since it is larger than the sum of its proper divisors (1).

101800401217 is an equidigital number, since it uses as much as digits as its factorization.

101800401217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 448, while the sum is 25.

Adding to 101800401217 its reverse (712104008101), we get a palindrome (813904409318).

The spelling of 101800401217 in words is "one hundred one billion, eight hundred million, four hundred one thousand, two hundred seventeen".