21001010010201 has 96 divisors (see below), whose sum is σ = 34273227905280. Its totient is φ = 12773116882944.

The previous prime is 21001010010179. The next prime is 21001010010229. The reversal of 21001010010201 is 10201001010012.

It is a happy number.

It is not a de Polignac number, because 21001010010201 - 2⁷ = 21001010010073 is a prime.

It is a super-2 number, since 2×21001010010201² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (21001010010241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 729010140 + ... + 729038946.

It is an arithmetic number, because the mean of its divisors is an integer number (357012790680).

Almost surely, 2^{21001010010201} is an apocalyptic number.

It is an amenable number.

21001010010201 is a deficient number, since it is larger than the sum of its proper divisors (13272217895079).

21001010010201 is a wasteful number, since it uses less digits than its factorization.

21001010010201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31517 (or 31505 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 21001010010201 its reverse (10201001010012), we get a palindrome (31202011020213).

The spelling of 21001010010201 in words is "twenty-one trillion, one billion, ten million, ten thousand, two hundred one".