100001101101201 has 24 divisors (see below), whose sum is σ = 145348257949440. Its totient is φ = 66252135672576.

The previous prime is 100001101101169. The next prime is 100001101101241. The reversal of 100001101101201 is 102101101100001.

It is not a de Polignac number, because 100001101101201 - 2⁵ = 100001101101169 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 (100001101101241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46684000 + ... + 48779073.

It is an arithmetic number, because the mean of its divisors is an integer number (6056177414560).

Almost surely, 2^{100001101101201} is an apocalyptic number.

It is an amenable number.

100001101101201 is a deficient number, since it is larger than the sum of its proper divisors (45347156848239).

100001101101201 is a wasteful number, since it uses less digits than its factorization.

100001101101201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95463805 (or 95463802 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100001101101201 its reverse (102101101100001), we get a palindrome (202102202201202).

The spelling of 100001101101201 in words is "one hundred trillion, one billion, one hundred one million, one hundred one thousand, two hundred one".