20111012001 has 12 divisors (see below), whose sum is σ = 29052061012. Its totient is φ = 13406039136.

The previous prime is 20111011933. The next prime is 20111012011. The reversal of 20111012001 is 10021011102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 14342457600 + 5768554401 = 119760^2 + 75951^2 .

It is not a de Polignac number, because 20111012001 - 2¹⁴ = 20110995617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20111012011) 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 11 ways as a sum of consecutive naturals, for example, 5566 + ... + 200631.

Almost surely, 2^20111012001 is an apocalyptic number.

It is an amenable number.

20111012001 is a deficient number, since it is larger than the sum of its proper divisors (8941049011).

20111012001 is a wasteful number, since it uses less digits than its factorization.

20111012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217040 (or 217037 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20111012001 its reverse (10021011102), we get a palindrome (30132023103).

It can be divided in two parts, 2011101 and 2001, that added together give a palindrome (2013102).

The spelling of 20111012001 in words is "twenty billion, one hundred eleven million, twelve thousand, one".