10100001122201 has 4 divisors (see below), whose sum is σ = 10103049722292. Its totient is φ = 10096952522112.

The previous prime is 10100001122191. The next prime is 10100001122291. The reversal of 10100001122201 is 10222110000101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 5910709128025 + 4189291994176 = 2431195^2 + 2046776^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100001122201 - 2¹⁸ = 10100000860057 is a prime.

It is a super-2 number, since 2×10100001122201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100001122291) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1524295076 + ... + 1524301701.

It is an arithmetic number, because the mean of its divisors is an integer number (2525762430573).

Almost surely, 2^{10100001122201} is an apocalyptic number.

It is an amenable number.

10100001122201 is a deficient number, since it is larger than the sum of its proper divisors (3048600091).

10100001122201 is an equidigital number, since it uses as much as digits as its factorization.

10100001122201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048600090.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10100001122201 its reverse (10222110000101), we get a palindrome (20322111122302).

The spelling of 10100001122201 in words is "ten trillion, one hundred billion, one million, one hundred twenty-two thousand, two hundred one".