20112112112121 has 6 divisors (see below), whose sum is σ = 29050828606410. Its totient is φ = 13408074741408.

The previous prime is 20112112112117. The next prime is 20112112112123. The reversal of 20112112112121 is 12121121121102.

It is a happy number.

20112112112121 is a `hidden beast` number, since 20 + 11 + 211 + 211 + 212 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13575724475625 + 6536387636496 = 3684525^2 + 2556636^2 .

It is not a de Polignac number, because 20112112112121 - 2² = 20112112112117 is a prime.

It is a super-2 number, since 2×20112112112121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20112112112094 and 20112112112103.

It is not an unprimeable number, because it can be changed into a prime (20112112112123) 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 5 ways as a sum of consecutive naturals, for example, 1117339561776 + ... + 1117339561793.

It is an arithmetic number, because the mean of its divisors is an integer number (4841804767735).

Almost surely, 2^{20112112112121} is an apocalyptic number.

It is an amenable number.

20112112112121 is a deficient number, since it is larger than the sum of its proper divisors (8938716494289).

20112112112121 is a wasteful number, since it uses less digits than its factorization.

20112112112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234679123575 (or 2234679123572 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 20112112112121 its reverse (12121121121102), we get a palindrome (32233233233223).

The spelling of 20112112112121 in words is "twenty trillion, one hundred twelve billion, one hundred twelve million, one hundred twelve thousand, one hundred twenty-one".