2012022101011 has 48 divisors (see below), whose sum is σ = 2276377992000. Its totient is φ = 1775970054144.

The previous prime is 2012022100919. The next prime is 2012022101053. The reversal of 2012022101011 is 1101012202102.

It is not a de Polignac number, because 2012022101011 - 2¹⁹ = 2012021576723 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2012022100982 and 2012022101000.

It is not an unprimeable number, because it can be changed into a prime (2012022101611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92927515 + ... + 92949163.

It is an arithmetic number, because the mean of its divisors is an integer number (47424541500).

Almost surely, 2^{2012022101011} is an apocalyptic number.

2012022101011 is a deficient number, since it is larger than the sum of its proper divisors (264355890989).

2012022101011 is a wasteful number, since it uses less digits than its factorization.

2012022101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21968 (or 21955 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2012022101011 its reverse (1101012202102), we get a palindrome (3113034303113).

The spelling of 2012022101011 in words is "two trillion, twelve billion, twenty-two million, one hundred one thousand, eleven".