20121121112089 has 2 divisors, whose sum is σ = 20121121112090. Its totient is φ = 20121121112088.

The previous prime is 20121121112003. The next prime is 20121121112143. The reversal of 20121121112089 is 98021112112102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16874908136464 + 3246212975625 = 4107908^2 + 1801725^2 .

It is a cyclic number.

It is not a de Polignac number, because 20121121112089 - 2¹⁹ = 20121120587801 is a prime.

It is a super-2 number, since 2×20121121112089² (a number of 27 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 20121121112089.

It is not a weakly prime, because it can be changed into another prime (20121121152089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060560556044 + 10060560556045.

It is an arithmetic number, because the mean of its divisors is an integer number (10060560556045).

Almost surely, 2^{20121121112089} is an apocalyptic number.

It is an amenable number.

20121121112089 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121121112089 is an equidigital number, since it uses as much as digits as its factorization.

20121121112089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 31.

The spelling of 20121121112089 in words is "twenty trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred twelve thousand, eighty-nine".