2122011000011 has 12 divisors (see below), whose sum is σ = 2520982241568. Its totient is φ = 1780167280752.

The previous prime is 2122010999957. The next prime is 2122011000023. The reversal of 2122011000011 is 1100001102212.

It is not a de Polignac number, because 2122011000011 - 2⁶ = 2122010999947 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122010999956 and 2122011000001.

It is not an unprimeable number, because it can be changed into a prime (2122011000061) 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 11 ways as a sum of consecutive naturals, for example, 460703516 + ... + 460708121.

It is an arithmetic number, because the mean of its divisors is an integer number (210081853464).

Almost surely, 2^{2122011000011} is an apocalyptic number.

2122011000011 is a deficient number, since it is larger than the sum of its proper divisors (398971241557).

2122011000011 is an equidigital number, since it uses as much as digits as its factorization.

2122011000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921411698 (or 921411691 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2122011000011 its reverse (1100001102212), we get a palindrome (3222012102223).

The spelling of 2122011000011 in words is "two trillion, one hundred twenty-two billion, eleven million, eleven", and thus it is an aban number.