21112112101 has 8 divisors (see below), whose sum is σ = 21164088800. Its totient is φ = 21060185328.

The previous prime is 21112112069. The next prime is 21112112107. The reversal of 21112112101 is 10121121112.

It is a happy number.

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 21112112101 - 2⁵ = 21112112069 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 (21112112107) 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 7 ways as a sum of consecutive naturals, for example, 917995 + ... + 940711.

It is an arithmetic number, because the mean of its divisors is an integer number (2645511100).

Almost surely, 2^21112112101 is an apocalyptic number.

It is an amenable number.

21112112101 is a deficient number, since it is larger than the sum of its proper divisors (51976699).

21112112101 is a wasteful number, since it uses less digits than its factorization.

21112112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24963.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 21112112101 its reverse (10121121112), we get a palindrome (31233233213).

The spelling of 21112112101 in words is "twenty-one billion, one hundred twelve million, one hundred twelve thousand, one hundred one".