100001101200101 has 8 divisors (see below), whose sum is σ = 106349966141760. Its totient is φ = 93704063727808.

The previous prime is 100001101200053. The next prime is 100001101200109. The reversal of 100001101200101 is 101002101100001.

It is a happy number.

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 100001101200101 - 2³⁸ = 99726223293157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001101200109) 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, 12956863361 + ... + 12956871078.

It is an arithmetic number, because the mean of its divisors is an integer number (13293745767720).

Almost surely, 2^{100001101200101} is an apocalyptic number.

It is an amenable number.

100001101200101 is a deficient number, since it is larger than the sum of its proper divisors (6348864941659).

100001101200101 is a wasteful number, since it uses less digits than its factorization.

100001101200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25913734683.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100001101200101 its reverse (101002101100001), we get a palindrome (201003202300102).

It can be divided in two parts, 10000110 and 1200101, that added together give a palindrome (11200211).

The spelling of 100001101200101 in words is "one hundred trillion, one billion, one hundred one million, two hundred thousand, one hundred one".