110201211121121 has 2 divisors, whose sum is σ = 110201211121122. Its totient is φ = 110201211121120.

The previous prime is 110201211121103. The next prime is 110201211121139. The reversal of 110201211121121 is 121121112102011.

It is a balanced prime because it is at equal distance from previous prime (110201211121103) and next prime (110201211121139).

It can be written as a sum of positive squares in only one way, i.e., 108992451603025 + 1208759518096 = 10439945^2 + 1099436^2 .

It is a cyclic number.

It is not a de Polignac number, because 110201211121121 - 2²² = 110201206926817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110201211121121.

It is not a weakly prime, because it can be changed into another prime (110201211121151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55100605560560 + 55100605560561.

It is an arithmetic number, because the mean of its divisors is an integer number (55100605560561).

Almost surely, 2^{110201211121121} is an apocalyptic number.

It is an amenable number.

110201211121121 is a deficient number, since it is larger than the sum of its proper divisors (1).

110201211121121 is an equidigital number, since it uses as much as digits as its factorization.

110201211121121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 110201211121121 its reverse (121121112102011), we get a palindrome (231322323223132).

The spelling of 110201211121121 in words is "one hundred ten trillion, two hundred one billion, two hundred eleven million, one hundred twenty-one thousand, one hundred twenty-one".