21121101020011 has 8 divisors (see below), whose sum is σ = 21265337768400. Its totient is φ = 20976897397152.

The previous prime is 21121101019999. The next prime is 21121101020021. The reversal of 21121101020011 is 11002010112112.

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 21121101020011 - 2²⁵ = 21121067465579 is a prime.

It is a super-2 number, since 2×21121101020011² (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 = 21121101019973 and 21121101020000.

It is not an unprimeable number, because it can be changed into a prime (21121101020021) 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, 7001140 + ... + 9552913.

It is an arithmetic number, because the mean of its divisors is an integer number (2658167221050).

Almost surely, 2^{21121101020011} is an apocalyptic number.

21121101020011 is a deficient number, since it is larger than the sum of its proper divisors (144236748389).

21121101020011 is a wasteful number, since it uses less digits than its factorization.

21121101020011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16562765.

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

Adding to 21121101020011 its reverse (11002010112112), we get a palindrome (32123111132123).

The spelling of 21121101020011 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred one million, twenty thousand, eleven".