100000002001101 has 16 divisors (see below), whose sum is σ = 133833989426688. Its totient is φ = 66416635969200.

The previous prime is 100000002001099. The next prime is 100000002001153. The reversal of 100000002001101 is 101100200000001.

It is not a de Polignac number, because 100000002001101 - 2¹ = 100000002001099 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100000002001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000002001171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35476855 + ... + 38191716.

It is an arithmetic number, because the mean of its divisors is an integer number (8364624339168).

Almost surely, 2^{100000002001101} is an apocalyptic number.

It is an amenable number.

100000002001101 is a deficient number, since it is larger than the sum of its proper divisors (33833987425587).

100000002001101 is a wasteful number, since it uses less digits than its factorization.

100000002001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73670272.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100000002001101 its reverse (101100200000001), we get a palindrome (201100202001102).

The spelling of 100000002001101 in words is "one hundred trillion, two million, one thousand, one hundred one".