1001121102089 has 2 divisors, whose sum is σ = 1001121102090. Its totient is φ = 1001121102088.

The previous prime is 1001121102049. The next prime is 1001121102127. The reversal of 1001121102089 is 9802011211001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 727600470025 + 273520632064 = 852995^2 + 522992^2 .

It is an emirp because it is prime and its reverse (9802011211001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001121102089 - 2²⁰ = 1001120053513 is a prime.

It is a super-2 number, since 2×1001121102089² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1001121102049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500560551044 + 500560551045.

It is an arithmetic number, because the mean of its divisors is an integer number (500560551045).

Almost surely, 2^{1001121102089} is an apocalyptic number.

It is an amenable number.

1001121102089 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001121102089 is an equidigital number, since it uses as much as digits as its factorization.

1001121102089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 26.

The spelling of 1001121102089 in words is "one trillion, one billion, one hundred twenty-one million, one hundred two thousand, eighty-nine".