20001122112101 has 32 divisors (see below), whose sum is σ = 22903158499200. Its totient is φ = 17313649516800.

The previous prime is 20001122112091. The next prime is 20001122112109. The reversal of 20001122112101 is 10121122110002.

It is a de Polignac number, because none of the positive numbers 2^k-20001122112101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001122112109) 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 31 ways as a sum of consecutive naturals, for example, 109600790 + ... + 109783128.

It is an arithmetic number, because the mean of its divisors is an integer number (715723703100).

Almost surely, 2^{20001122112101} is an apocalyptic number.

It is an amenable number.

20001122112101 is a deficient number, since it is larger than the sum of its proper divisors (2902036387099).

20001122112101 is a wasteful number, since it uses less digits than its factorization.

20001122112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186869.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20001122112101 its reverse (10121122110002), we get a palindrome (30122244222103).

The spelling of 20001122112101 in words is "twenty trillion, one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred one".