20112101001 has 24 divisors (see below), whose sum is σ = 29160147744. Its totient is φ = 13357705920.

The previous prime is 20112100999. The next prime is 20112101029. The reversal of 20112101001 is 10010121102.

It is a happy number.

It is not a de Polignac number, because 20112101001 - 2¹ = 20112100999 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20112108001) 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 23 ways as a sum of consecutive naturals, for example, 2748790 + ... + 2756096.

It is an arithmetic number, because the mean of its divisors is an integer number (1215006156).

Almost surely, 2^20112101001 is an apocalyptic number.

It is an amenable number.

20112101001 is a deficient number, since it is larger than the sum of its proper divisors (9048046743).

20112101001 is a wasteful number, since it uses less digits than its factorization.

20112101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8421 (or 8418 counting only the distinct ones).

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

Adding to 20112101001 its reverse (10010121102), we get a palindrome (30122222103).

It can be divided in two parts, 2011 and 2101001, that added together give a palindrome (2103012).

The spelling of 20112101001 in words is "twenty billion, one hundred twelve million, one hundred one thousand, one".