21011201010001 has 8 divisors (see below), whose sum is σ = 21019094106920. Its totient is φ = 21003308906112.

The previous prime is 21011201009957. The next prime is 21011201010029. The reversal of 21011201010001 is 10001010211012.

It can be written as a sum of positive squares in 4 ways, for example, as 1566840510225 + 19444360499776 = 1251735^2 + 4409576^2 .

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 21011201010001 - 2¹³ = 21011201001809 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21011201010001.

It is not an unprimeable number, because it can be changed into a prime (21011201050001) 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, 43517845 + ... + 43998013.

It is an arithmetic number, because the mean of its divisors is an integer number (2627386763365).

Almost surely, 2^{21011201010001} is an apocalyptic number.

It is an amenable number.

21011201010001 is a deficient number, since it is larger than the sum of its proper divisors (7893096919).

21011201010001 is a wasteful number, since it uses less digits than its factorization.

21011201010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496515.

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

Adding to 21011201010001 its reverse (10001010211012), we get a palindrome (31012211221013).

It can be divided in two parts, 210 and 11201010001, that added together give a palindrome (11201010211).

The spelling of 21011201010001 in words is "twenty-one trillion, eleven billion, two hundred one million, ten thousand, one".