10010100102201 has 12 divisors (see below), whose sum is σ = 14459070563028. Its totient is φ = 6673382953344.

The previous prime is 10010100102169. The next prime is 10010100102203. The reversal of 10010100102201 is 10220100101001.

It is a happy number.

10010100102201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6768587925801 + 3241512176400 = 2601651^2 + 1800420^2 .

It is not a de Polignac number, because 10010100102201 - 2⁵ = 10010100102169 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 (10010100102203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3001461 + ... + 5387853.

It is an arithmetic number, because the mean of its divisors is an integer number (1204922546919).

Almost surely, 2^{10010100102201} is an apocalyptic number.

It is an amenable number.

10010100102201 is a deficient number, since it is larger than the sum of its proper divisors (4448970460827).

10010100102201 is a wasteful number, since it uses less digits than its factorization.

10010100102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852472 (or 2852469 counting only the distinct ones).

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

Adding to 10010100102201 its reverse (10220100101001), we get a palindrome (20230200203202).

The spelling of 10010100102201 in words is "ten trillion, ten billion, one hundred million, one hundred two thousand, two hundred one".