1001212101089 has 2 divisors, whose sum is σ = 1001212101090. Its totient is φ = 1001212101088.

The previous prime is 1001212101017. The next prime is 1001212101107. The reversal of 1001212101089 is 9801012121001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1000984242064 + 227859025 = 1000492^2 + 15095^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001212101089 - 2¹⁶ = 1001212035553 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001212101889) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500606050544 + 500606050545.

It is an arithmetic number, because the mean of its divisors is an integer number (500606050545).

Almost surely, 2^{1001212101089} is an apocalyptic number.

It is an amenable number.

1001212101089 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001212101089 is an equidigital number, since it uses as much as digits as its factorization.

1001212101089 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 1001212101089 in words is "one trillion, one billion, two hundred twelve million, one hundred one thousand, eighty-nine".