101122201100001 has 8 divisors (see below), whose sum is σ = 134897731642080. Its totient is φ = 67380735645632.

The previous prime is 101122201099963. The next prime is 101122201100111. The reversal of 101122201100001 is 100001102221101.

101122201100001 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 101122201100001 - 2²⁵ = 101122167545569 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101122201100001.

It is not an unprimeable number, because it can be changed into a prime (101122201180001) 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, 8516265000 + ... + 8516276873.

It is an arithmetic number, because the mean of its divisors is an integer number (16862216455260).

Almost surely, 2^{101122201100001} is an apocalyptic number.

It is an amenable number.

101122201100001 is a deficient number, since it is larger than the sum of its proper divisors (33775530542079).

101122201100001 is a wasteful number, since it uses less digits than its factorization.

101122201100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17032543855.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101122201100001 its reverse (100001102221101), we get a palindrome (201123303321102).

The spelling of 101122201100001 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred one million, one hundred thousand, one".