100220022212117 has 2 divisors, whose sum is σ = 100220022212118. Its totient is φ = 100220022212116.

The previous prime is 100220022212069. The next prime is 100220022212159. The reversal of 100220022212117 is 711212220022001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87858265479076 + 12361756733041 = 9373274^2 + 3515929^2 .

It is a cyclic number.

It is not a de Polignac number, because 100220022212117 - 2²⁸ = 100219753776661 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100220022212092 and 100220022212101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100220042212117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110011106058 + 50110011106059.

It is an arithmetic number, because the mean of its divisors is an integer number (50110011106059).

Almost surely, 2^{100220022212117} is an apocalyptic number.

It is an amenable number.

100220022212117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100220022212117 is an equidigital number, since it uses as much as digits as its factorization.

100220022212117 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 23.

Adding to 100220022212117 its reverse (711212220022001), we get a palindrome (811432242234118).

The spelling of 100220022212117 in words is "one hundred trillion, two hundred twenty billion, twenty-two million, two hundred twelve thousand, one hundred seventeen".