21101121002113 has 8 divisors (see below), whose sum is σ = 22439928323880. Its totient is φ = 19773154225920.

The previous prime is 21101121002029. The next prime is 21101121002123. The reversal of 21101121002113 is 31120012110112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18140852787264 + 2960268214849 = 4259208^2 + 1720543^2 .

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 21101121002113 - 2³⁷ = 20963682048641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21101121002123) 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, 2710132378 + ... + 2710140163.

It is an arithmetic number, because the mean of its divisors is an integer number (2804991040485).

Almost surely, 2^{21101121002113} is an apocalyptic number.

It is an amenable number.

21101121002113 is a deficient number, since it is larger than the sum of its proper divisors (1338807321767).

21101121002113 is a wasteful number, since it uses less digits than its factorization.

21101121002113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5420272787.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 21101121002113 its reverse (31120012110112), we get a palindrome (52221133112225).

The spelling of 21101121002113 in words is "twenty-one trillion, one hundred one billion, one hundred twenty-one million, two thousand, one hundred thirteen".