100111202002001 has 8 divisors (see below), whose sum is σ = 100380414352680. Its totient is φ = 99841994024832.

The previous prime is 100111202001997. The next prime is 100111202002033. The reversal of 100111202002001 is 100200202111001.

It can be written as a sum of positive squares in 4 ways, for example, as 4077552297025 + 96033649704976 = 2019295^2 + 9799676^2 .

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 100111202002001 - 2² = 100111202001997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111204002001) 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, 47668355 + ... + 49724183.

It is an arithmetic number, because the mean of its divisors is an integer number (12547551794085).

Almost surely, 2^{100111202002001} is an apocalyptic number.

It is an amenable number.

100111202002001 is a deficient number, since it is larger than the sum of its proper divisors (269212350679).

100111202002001 is a wasteful number, since it uses less digits than its factorization.

100111202002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186755.

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

Adding to 100111202002001 its reverse (100200202111001), we get a palindrome (200311404113002).

The spelling of 100111202002001 in words is "one hundred trillion, one hundred eleven billion, two hundred two million, two thousand, one".