21001000201 has 8 divisors (see below), whose sum is σ = 22263452424. Its totient is φ = 19741559040.

The previous prime is 21001000199. The next prime is 21001000213. The reversal of 21001000201 is 10200010012.

It can be written as a sum of positive squares in 4 ways, for example, as 4637473801 + 16363526400 = 68099^2 + 127920^2 .

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 21001000201 - 2¹ = 21001000199 is a prime.

It is a super-3 number, since 3×21001000201³ (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21001000001) 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, 738390 + ... + 766303.

It is an arithmetic number, because the mean of its divisors is an integer number (2782931553).

Almost surely, 2^21001000201 is an apocalyptic number.

It is an amenable number.

21001000201 is a deficient number, since it is larger than the sum of its proper divisors (1262452223).

21001000201 is a wasteful number, since it uses less digits than its factorization.

21001000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505531.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 21001000201 its reverse (10200010012), we get a palindrome (31201010213).

The spelling of 21001000201 in words is "twenty-one billion, one million, two hundred one", and thus it is an aban number.