21102101001001 has 8 divisors (see below), whose sum is σ = 21593047081760. Its totient is φ = 20611163990592.

The previous prime is 21102101000989. The next prime is 21102101001019. The reversal of 21102101001001 is 10010010120112.

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 21102101001001 - 2¹³ = 21102100992809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21102101001041) 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, 2557585 + ... + 6981793.

It is an arithmetic number, because the mean of its divisors is an integer number (2699130885220).

Almost surely, 2^{21102101001001} is an apocalyptic number.

It is an amenable number.

21102101001001 is a deficient number, since it is larger than the sum of its proper divisors (490946080759).

21102101001001 is a wasteful number, since it uses less digits than its factorization.

21102101001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4535175.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 21102101001001 its reverse (10010010120112), we get a palindrome (31112111121113).

The spelling of 21102101001001 in words is "twenty-one trillion, one hundred two billion, one hundred one million, one thousand, one".