1010122011001 has 2 divisors, whose sum is σ = 1010122011002. Its totient is φ = 1010122011000.

The previous prime is 1010122010939. The next prime is 1010122011029. The reversal of 1010122011001 is 1001102210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 829857231225 + 180264779776 = 910965^2 + 424576^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010122011001 - 2¹¹ = 1010122008953 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010122011071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505061005500 + 505061005501.

It is an arithmetic number, because the mean of its divisors is an integer number (505061005501).

Almost surely, 2^{1010122011001} is an apocalyptic number.

It is an amenable number.

1010122011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010122011001 is an equidigital number, since it uses as much as digits as its factorization.

1010122011001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1010122011001 its reverse (1001102210101), we get a palindrome (2011224221102).

The spelling of 1010122011001 in words is "one trillion, ten billion, one hundred twenty-two million, eleven thousand, one".