10100221010001 has 12 divisors (see below), whose sum is σ = 14589240790020. Its totient is φ = 6733465597440.

The previous prime is 10100221009993. The next prime is 10100221010051. The reversal of 10100221010001 is 10001012200101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5172713409600 + 4927507600401 = 2274360^2 + 2219799^2 .

It is not a de Polignac number, because 10100221010001 - 2³ = 10100221009993 is a prime.

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 (10100221010051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4262881 + ... + 6194561.

It is an arithmetic number, because the mean of its divisors is an integer number (1215770065835).

Almost surely, 2^{10100221010001} is an apocalyptic number.

It is an amenable number.

10100221010001 is a deficient number, since it is larger than the sum of its proper divisors (4489019780019).

10100221010001 is a wasteful number, since it uses less digits than its factorization.

10100221010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512656 (or 2512653 counting only the distinct ones).

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

Adding to 10100221010001 its reverse (10001012200101), we get a palindrome (20101233210102).

The spelling of 10100221010001 in words is "ten trillion, one hundred billion, two hundred twenty-one million, ten thousand, one".