21201101112001 has 8 divisors (see below), whose sum is σ = 21396620900160. Its totient is φ = 21005599765392.

The previous prime is 21201101111951. The next prime is 21201101112007. The reversal of 21201101112001 is 10021110110212.

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 21201101112001 - 2¹⁷ = 21201100980929 is a prime.

It is a super-2 number, since 2×21201101112001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21201101112007) 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, 2295175 + ... + 6904348.

It is an arithmetic number, because the mean of its divisors is an integer number (2674577612520).

Almost surely, 2^{21201101112001} is an apocalyptic number.

It is an amenable number.

21201101112001 is a deficient number, since it is larger than the sum of its proper divisors (195519788159).

21201101112001 is a wasteful number, since it uses less digits than its factorization.

21201101112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9220775.

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

Adding to 21201101112001 its reverse (10021110110212), we get a palindrome (31222211222213).

The spelling of 21201101112001 in words is "twenty-one trillion, two hundred one billion, one hundred one million, one hundred twelve thousand, one".