10100001222201 has 96 divisors (see below), whose sum is σ = 15949055219328. Its totient is φ = 5660512000000.

The previous prime is 10100001222173. The next prime is 10100001222203. The reversal of 10100001222201 is 10222210000101.

It is not a de Polignac number, because 10100001222201 - 2¹⁵ = 10100001189433 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10100001222203) 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, 81586651 + ... + 81710351.

It is an arithmetic number, because the mean of its divisors is an integer number (166135991868).

Almost surely, 2^{10100001222201} is an apocalyptic number.

10100001222201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100001222201 is a deficient number, since it is larger than the sum of its proper divisors (5849053997127).

10100001222201 is a wasteful number, since it uses less digits than its factorization.

10100001222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123975 (or 123964 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10100001222201 its reverse (10222210000101), we get a palindrome (20322211222302).

The spelling of 10100001222201 in words is "ten trillion, one hundred billion, one million, two hundred twenty-two thousand, two hundred one".