20112112112101 has 8 divisors (see below), whose sum is σ = 20156940480600. Its totient is φ = 20067288944640.

The previous prime is 20112112112041. The next prime is 20112112112117. The reversal of 20112112112101 is 10121121121102.

It can be written as a sum of positive squares in 4 ways, for example, as 45528890625 + 20066583221476 = 213375^2 + 4479574^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20112112112101 - 2¹⁷ = 20112111981029 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 (20112112112501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6494245 + ... + 9077413.

It is an arithmetic number, because the mean of its divisors is an integer number (2519617560075).

Almost surely, 2^{20112112112101} is an apocalyptic number.

It is an amenable number.

20112112112101 is a deficient number, since it is larger than the sum of its proper divisors (44828368499).

20112112112101 is a wasteful number, since it uses less digits than its factorization.

20112112112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2600519.

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

Adding to 20112112112101 its reverse (10121121121102), we get a palindrome (30233233233203).

Subtracting from 20112112112101 its reverse (10121121121102), we obtain a palindrome (9990990990999).

The spelling of 20112112112101 in words is "twenty trillion, one hundred twelve billion, one hundred twelve million, one hundred twelve thousand, one hundred one".