21100221010001 has 8 divisors (see below), whose sum is σ = 24123526219584. Its totient is φ = 18079162781040.

The previous prime is 21100221009937. The next prime is 21100221010013. The reversal of 21100221010001 is 10001012200112.

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 21100221010001 - 2⁶ = 21100221009937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21100221012001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 561725030 + ... + 561762591.

It is an arithmetic number, because the mean of its divisors is an integer number (3015440777448).

Almost surely, 2^{21100221010001} is an apocalyptic number.

It is an amenable number.

21100221010001 is a deficient number, since it is larger than the sum of its proper divisors (3023305209583).

21100221010001 is a wasteful number, since it uses less digits than its factorization.

21100221010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123490311.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 21100221010001 its reverse (10001012200112), we get a palindrome (31101233210113).

The spelling of 21100221010001 in words is "twenty-one trillion, one hundred billion, two hundred twenty-one million, ten thousand, one".