21100201021001 has 8 divisors (see below), whose sum is σ = 22364981085600. Its totient is φ = 19838042264128.

The previous prime is 21100201020973. The next prime is 21100201021043. The reversal of 21100201021001 is 10012010200112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21100201021001 is a prime.

It is a super-3 number, since 3×21100201021001³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21100201021091) 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, 655310351 + ... + 655342548.

It is an arithmetic number, because the mean of its divisors is an integer number (2795622635700).

Almost surely, 2^{21100201021001} is an apocalyptic number.

It is an amenable number.

21100201021001 is a deficient number, since it is larger than the sum of its proper divisors (1264780064599).

21100201021001 is a wasteful number, since it uses less digits than its factorization.

21100201021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310653863.

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

Adding to 21100201021001 its reverse (10012010200112), we get a palindrome (31112211221113).

The spelling of 21100201021001 in words is "twenty-one trillion, one hundred billion, two hundred one million, twenty-one thousand, one".