1001010122011 has 16 divisors (see below), whose sum is σ = 1012141934496. Its totient is φ = 989956800000.

The previous prime is 1001010121961. The next prime is 1001010122033. The reversal of 1001010122011 is 1102210101001.

It is a cyclic number.

It is not a de Polignac number, because 1001010122011 - 2²¹ = 1001008024859 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001010122071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23420961 + ... + 23463661.

It is an arithmetic number, because the mean of its divisors is an integer number (63258870906).

Almost surely, 2^{1001010122011} is an apocalyptic number.

1001010122011 is a deficient number, since it is larger than the sum of its proper divisors (11131812485).

1001010122011 is a wasteful number, since it uses less digits than its factorization.

1001010122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43614.

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

Adding to 1001010122011 its reverse (1102210101001), we get a palindrome (2103220223012).

The spelling of 1001010122011 in words is "one trillion, one billion, ten million, one hundred twenty-two thousand, eleven".