21202212122113 has 8 divisors (see below), whose sum is σ = 23129964031680. Its totient is φ = 19274506559280.

The previous prime is 21202212122071. The next prime is 21202212122167. The reversal of 21202212122113 is 31122121220212.

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 21202212122113 - 2³⁷ = 21064773168641 is a prime.

It is a super-3 number, since 3×21202212122113³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21202212122513) 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, 10626693 + ... + 12463186.

It is an arithmetic number, because the mean of its divisors is an integer number (2891245503960).

Almost surely, 2^{21202212122113} is an apocalyptic number.

It is an amenable number.

21202212122113 is a deficient number, since it is larger than the sum of its proper divisors (1927751909567).

21202212122113 is a wasteful number, since it uses less digits than its factorization.

21202212122113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23173367.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 21202212122113 its reverse (31122121220212), we get a palindrome (52324333342325).

The spelling of 21202212122113 in words is "twenty-one trillion, two hundred two billion, two hundred twelve million, one hundred twenty-two thousand, one hundred thirteen".