21210212011001 has 16 divisors (see below), whose sum is σ = 23629996751760. Its totient is φ = 18903064857600.

The previous prime is 21210212010973. The next prime is 21210212011013. The reversal of 21210212011001 is 10011021201212.

It can be written as a sum of positive squares in 8 ways, for example, as 6865631455225 + 14344580555776 = 2620235^2 + 3787424^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21210212011001 is a prime.

It is a super-3 number, since 3×21210212011001³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21210212011301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15086021 + ... + 16431933.

It is an arithmetic number, because the mean of its divisors is an integer number (1476874796985).

Almost surely, 2^{21210212011001} is an apocalyptic number.

It is an amenable number.

21210212011001 is a deficient number, since it is larger than the sum of its proper divisors (2419784740759).

21210212011001 is a wasteful number, since it uses less digits than its factorization.

21210212011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387756.

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

Adding to 21210212011001 its reverse (10011021201212), we get a palindrome (31221233212213).

The spelling of 21210212011001 in words is "twenty-one trillion, two hundred ten billion, two hundred twelve million, eleven thousand, one".