2021122002011 has 16 divisors (see below), whose sum is σ = 2331530956800. Its totient is φ = 1716133606080.

The previous prime is 2021122001957. The next prime is 2021122002013. The reversal of 2021122002011 is 1102002211202.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2021122002011 is a prime.

It is a super-3 number, since 3×2021122002011³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2021122002013) 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, 37506215 + ... + 37560063.

It is an arithmetic number, because the mean of its divisors is an integer number (145720684800).

Almost surely, 2^{2021122002011} is an apocalyptic number.

2021122002011 is a deficient number, since it is larger than the sum of its proper divisors (310408954789).

2021122002011 is a wasteful number, since it uses less digits than its factorization.

2021122002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104074.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2021122002011 its reverse (1102002211202), we get a palindrome (3123124213213).

The spelling of 2021122002011 in words is "two trillion, twenty-one billion, one hundred twenty-two million, two thousand, eleven".