121100212117 has 2 divisors, whose sum is σ = 121100212118. Its totient is φ = 121100212116.

The previous prime is 121100212091. The next prime is 121100212169. The reversal of 121100212117 is 711212001121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117100155601 + 4000056516 = 342199^2 + 63246^2 .

It is a cyclic number.

It is not a de Polignac number, because 121100212117 - 2¹⁹ = 121099687829 is a prime.

It is a super-2 number, since 2×121100212117² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121100212094 and 121100212103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121100212417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60550106058 + 60550106059.

It is an arithmetic number, because the mean of its divisors is an integer number (60550106059).

Almost surely, 2^121100212117 is an apocalyptic number.

It is an amenable number.

121100212117 is a deficient number, since it is larger than the sum of its proper divisors (1).

121100212117 is an equidigital number, since it uses as much as digits as its factorization.

121100212117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 19.

Adding to 121100212117 its reverse (711212001121), we get a palindrome (832312213238).

The spelling of 121100212117 in words is "one hundred twenty-one billion, one hundred million, two hundred twelve thousand, one hundred seventeen".