10101101122201 has 8 divisors (see below), whose sum is σ = 10713819571560. Its totient is φ = 9490442231808.

The previous prime is 10101101122193. The next prime is 10101101122223. The reversal of 10101101122201 is 10222110110101.

It is a happy number.

10101101122201 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 4 ways, for example, as 7033629105801 + 3067472016400 = 2652099^2 + 1751420^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10101101122201 - 2³ = 10101101122193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10101101122271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 514879636 + ... + 514899253.

It is an arithmetic number, because the mean of its divisors is an integer number (1339227446445).

Almost surely, 2^{10101101122201} is an apocalyptic number.

It is an amenable number.

10101101122201 is a deficient number, since it is larger than the sum of its proper divisors (612718449359).

10101101122201 is a wasteful number, since it uses less digits than its factorization.

10101101122201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029779483.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10101101122201 its reverse (10222110110101), we get a palindrome (20323211232302).

The spelling of 10101101122201 in words is "ten trillion, one hundred one billion, one hundred one million, one hundred twenty-two thousand, two hundred one".