100211102002001 has 8 divisors (see below), whose sum is σ = 102664748342184. Its totient is φ = 97757906762880.

The previous prime is 100211102001979. The next prime is 100211102002049. The reversal of 100211102002001 is 100200201112001.

It can be written as a sum of positive squares in 4 ways, for example, as 400911846976 + 99810190155025 = 633176^2 + 9990505^2 .

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 100211102002001 - 2⁶ = 100211102001937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100211102002201) 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, 112325510 + ... + 113214143.

It is an arithmetic number, because the mean of its divisors is an integer number (12833093542773).

Almost surely, 2^{100211102002001} is an apocalyptic number.

It is an amenable number.

100211102002001 is a deficient number, since it is larger than the sum of its proper divisors (2453646340183).

100211102002001 is a wasteful number, since it uses less digits than its factorization.

100211102002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225550531.

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

Adding to 100211102002001 its reverse (100200201112001), we get a palindrome (200411303114002).

The spelling of 100211102002001 in words is "one hundred trillion, two hundred eleven billion, one hundred two million, two thousand, one".