100010011002101 has 16 divisors (see below), whose sum is σ = 107912567001600. Its totient is φ = 92338517864448.

The previous prime is 100010011002037. The next prime is 100010011002133. The reversal of 100010011002101 is 101200110010001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100010011002101 - 2⁶ = 100010011002037 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010011002151) 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, 103601900 + ... + 104562773.

It is an arithmetic number, because the mean of its divisors is an integer number (6744535437600).

Almost surely, 2^{100010011002101} is an apocalyptic number.

It is an amenable number.

100010011002101 is a deficient number, since it is larger than the sum of its proper divisors (7902555999499).

100010011002101 is a wasteful number, since it uses less digits than its factorization.

100010011002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208165228.

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

Adding to 100010011002101 its reverse (101200110010001), we get a palindrome (201210121012102).

The spelling of 100010011002101 in words is "one hundred trillion, ten billion, eleven million, two thousand, one hundred one".