21211101021001 has 4 divisors (see below), whose sum is σ = 21211347235600. Its totient is φ = 21210854806404.

The previous prime is 21211101020881. The next prime is 21211101021017. The reversal of 21211101021001 is 10012010111212.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 21211101021001 - 2⁷ = 21211101020873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21211101021101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 122978031 + ... + 123150388.

It is an arithmetic number, because the mean of its divisors is an integer number (5302836808900).

Almost surely, 2^{21211101021001} is an apocalyptic number.

It is an amenable number.

21211101021001 is a deficient number, since it is larger than the sum of its proper divisors (246214599).

21211101021001 is an equidigital number, since it uses as much as digits as its factorization.

21211101021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246214598.

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

Adding to 21211101021001 its reverse (10012010111212), we get a palindrome (31223111132213).

The spelling of 21211101021001 in words is "twenty-one trillion, two hundred eleven billion, one hundred one million, twenty-one thousand, one".