10121021112089 has 2 divisors, whose sum is σ = 10121021112090. Its totient is φ = 10121021112088.

The previous prime is 10121021112077. The next prime is 10121021112101. The reversal of 10121021112089 is 98021112012101.

It is a balanced prime because it is at equal distance from previous prime (10121021112077) and next prime (10121021112101).

It can be written as a sum of positive squares in only one way, i.e., 5148156792025 + 4972864320064 = 2268955^2 + 2229992^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10121021112089 is a prime.

It is not a weakly prime, because it can be changed into another prime (10121021112289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060510556044 + 5060510556045.

It is an arithmetic number, because the mean of its divisors is an integer number (5060510556045).

Almost surely, 2^{10121021112089} is an apocalyptic number.

It is an amenable number.

10121021112089 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121021112089 is an equidigital number, since it uses as much as digits as its factorization.

10121021112089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 29.

The spelling of 10121021112089 in words is "ten trillion, one hundred twenty-one billion, twenty-one million, one hundred twelve thousand, eighty-nine".