21101214122213 has 8 divisors (see below), whose sum is σ = 21783225440256. Its totient is φ = 20419285741200.

The previous prime is 21101214122179. The next prime is 21101214122257. The reversal of 21101214122213 is 31222141210112.

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 21101214122213 - 2¹⁶ = 21101214056677 is a prime.

It is a super-2 number, since 2×21101214122213² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101214124213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20216981 + ... + 21235082.

It is an arithmetic number, because the mean of its divisors is an integer number (2722903180032).

Almost surely, 2^{21101214122213} is an apocalyptic number.

It is an amenable number.

21101214122213 is a deficient number, since it is larger than the sum of its proper divisors (682011318043).

21101214122213 is a wasteful number, since it uses less digits than its factorization.

21101214122213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41468515.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 21101214122213 its reverse (31222141210112), we get a palindrome (52323355332325).

The spelling of 21101214122213 in words is "twenty-one trillion, one hundred one billion, two hundred fourteen million, one hundred twenty-two thousand, two hundred thirteen".