2011012011021 has 32 divisors (see below), whose sum is σ = 3026087430912. Its totient is φ = 1178658961920.

The previous prime is 2011012011017. The next prime is 2011012011049. The reversal of 2011012011021 is 1201102101102.

It is not a de Polignac number, because 2011012011021 - 2² = 2011012011017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2011012010988 and 2011012011006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011012011121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4602010 + ... + 5020011.

It is an arithmetic number, because the mean of its divisors is an integer number (94565232216).

Almost surely, 2^{2011012011021} is an apocalyptic number.

It is an amenable number.

2011012011021 is a deficient number, since it is larger than the sum of its proper divisors (1015075419891).

2011012011021 is a wasteful number, since it uses less digits than its factorization.

2011012011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9622293.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2011012011021 its reverse (1201102101102), we get a palindrome (3212114112123).

It can be divided in two parts, 201101 and 2011021, that added together give a palindrome (2212122).

The spelling of 2011012011021 in words is "two trillion, eleven billion, twelve million, eleven thousand, twenty-one".