21121002212101 has 8 divisors (see below), whose sum is σ = 23041416888000. Its totient is φ = 19200641463840.

The previous prime is 21121002212071. The next prime is 21121002212117. The reversal of 21121002212101 is 10121220012112.

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 21121002212101 - 2¹⁷ = 21121002081029 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 (21121002212801) 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 7 ways as a sum of consecutive naturals, for example, 12660816 + ... + 14231593.

It is an arithmetic number, because the mean of its divisors is an integer number (2880177111000).

Almost surely, 2^{21121002212101} is an apocalyptic number.

It is an amenable number.

21121002212101 is a deficient number, since it is larger than the sum of its proper divisors (1920414675899).

21121002212101 is a wasteful number, since it uses less digits than its factorization.

21121002212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26963819.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21121002212101 its reverse (10121220012112), we get a palindrome (31242222224213).

The spelling of 21121002212101 in words is "twenty-one trillion, one hundred twenty-one billion, two million, two hundred twelve thousand, one hundred one".