1020001022011 has 16 divisors (see below), whose sum is σ = 1030208014080. Its totient is φ = 1009837576800.

The previous prime is 1020001021999. The next prime is 1020001022041. The reversal of 1020001022011 is 1102201000201.

It is a cyclic number.

It is not a de Polignac number, because 1020001022011 - 2¹⁹ = 1020000497723 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020001022041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165823786 + ... + 165829936.

It is an arithmetic number, because the mean of its divisors is an integer number (64388000880).

Almost surely, 2^{1020001022011} is an apocalyptic number.

1020001022011 is a deficient number, since it is larger than the sum of its proper divisors (10206992069).

1020001022011 is a wasteful number, since it uses less digits than its factorization.

1020001022011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9426.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1020001022011 its reverse (1102201000201), we get a palindrome (2122202022212).

The spelling of 1020001022011 in words is "one trillion, twenty billion, one million, twenty-two thousand, eleven".