21121101110011 has 8 divisors (see below), whose sum is σ = 24139009468640. Its totient is φ = 18103344801408.

The previous prime is 21121101109951. The next prime is 21121101110059. The reversal of 21121101110011 is 11001110112112.

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 21121101110011 - 2³³ = 21112511175419 is a prime.

It is a super-2 number, since 2×21121101110011² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21121101109973 and 21121101110000.

It is not an unprimeable number, because it can be changed into a prime (21121102110011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37714686 + ... + 38270611.

It is an arithmetic number, because the mean of its divisors is an integer number (3017376183580).

Almost surely, 2^{21121101110011} is an apocalyptic number.

21121101110011 is a deficient number, since it is larger than the sum of its proper divisors (3017908358629).

21121101110011 is an equidigital number, since it uses as much as digits as its factorization.

21121101110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76025013.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 21121101110011 its reverse (11001110112112), we get a palindrome (32122211222123).

The spelling of 21121101110011 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred one million, one hundred ten thousand, eleven".