21201100112001 has 16 divisors (see below), whose sum is σ = 28676985337728. Its totient is φ = 13929789552000.

The previous prime is 21201100111987. The next prime is 21201100112009. The reversal of 21201100112001 is 10021100110212.

It is not a de Polignac number, because 21201100112001 - 2¹⁵ = 21201100079233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21201100112009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18020700 + ... + 19161101.

It is an arithmetic number, because the mean of its divisors is an integer number (1792311583608).

Almost surely, 2^{21201100112001} is an apocalyptic number.

It is an amenable number.

21201100112001 is a deficient number, since it is larger than the sum of its proper divisors (7475885225727).

21201100112001 is a wasteful number, since it uses less digits than its factorization.

21201100112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37184552.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21201100112001 its reverse (10021100110212), we get a palindrome (31222200222213).

The spelling of 21201100112001 in words is "twenty-one trillion, two hundred one billion, one hundred million, one hundred twelve thousand, one".