21212011102001 has 8 divisors (see below), whose sum is σ = 21422133585000. Its totient is φ = 21001890630400.

The previous prime is 21212011101973. The next prime is 21212011102013. The reversal of 21212011102001 is 10020111021212.

It can be written as a sum of positive squares in 4 ways, for example, as 10988900132401 + 10223110969600 = 3314951^2 + 3197360^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21212011102001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21212011102021) 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, 29536025 + ... + 30245673.

It is an arithmetic number, because the mean of its divisors is an integer number (2677766698125).

Almost surely, 2^{21212011102001} is an apocalyptic number.

It is an amenable number.

21212011102001 is a deficient number, since it is larger than the sum of its proper divisors (210122482999).

21212011102001 is a wasteful number, since it uses less digits than its factorization.

21212011102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005699.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21212011102001 its reverse (10020111021212), we get a palindrome (31232122123213).

The spelling of 21212011102001 in words is "twenty-one trillion, two hundred twelve billion, eleven million, one hundred two thousand, one".