21211102011001 has 8 divisors (see below), whose sum is σ = 24241343442624. Its totient is φ = 18180881579760.

The previous prime is 21211102010993. The next prime is 21211102011013. The reversal of 21211102011001 is 10011020111212.

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 21211102011001 - 2³ = 21211102010993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21211102011091) 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 7 ways as a sum of consecutive naturals, for example, 3022735 + ... + 7180468.

It is an arithmetic number, because the mean of its divisors is an integer number (3030167930328).

Almost surely, 2^{21211102011001} is an apocalyptic number.

It is an amenable number.

21211102011001 is a deficient number, since it is larger than the sum of its proper divisors (3030241431623).

21211102011001 is a wasteful number, since it uses less digits than its factorization.

21211102011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10500191.

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

Adding to 21211102011001 its reverse (10011020111212), we get a palindrome (31222122122213).

The spelling of 21211102011001 in words is "twenty-one trillion, two hundred eleven billion, one hundred two million, eleven thousand, one".