121120101121121 has 2 divisors, whose sum is σ = 121120101121122. Its totient is φ = 121120101121120.

The previous prime is 121120101121109. The next prime is 121120101121127. The reversal of 121120101121121 is 121121101021121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105086363354896 + 16033737766225 = 10251164^2 + 4004215^2 .

It is an emirp because it is prime and its reverse (121121101021121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 121120101121121 - 2¹⁰ = 121120101120097 is a prime.

It is a super-2 number, since 2×121120101121121² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121120101121121.

It is not a weakly prime, because it can be changed into another prime (121120101121127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60560050560560 + 60560050560561.

It is an arithmetic number, because the mean of its divisors is an integer number (60560050560561).

Almost surely, 2^{121120101121121} is an apocalyptic number.

It is an amenable number.

121120101121121 is a deficient number, since it is larger than the sum of its proper divisors (1).

121120101121121 is an equidigital number, since it uses as much as digits as its factorization.

121120101121121 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 121120101121121 its reverse (121121101021121), we get a palindrome (242241202142242).

The spelling of 121120101121121 in words is "one hundred twenty-one trillion, one hundred twenty billion, one hundred one million, one hundred twenty-one thousand, one hundred twenty-one".