100201020101 has 32 divisors (see below), whose sum is σ = 134790985728. Its totient is φ = 72209387520.

The previous prime is 100201020089. The next prime is 100201020107. The reversal of 100201020101 is 101020102001.

It is a cyclic number.

It is not a de Polignac number, because 100201020101 - 2²² = 100196825797 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201020107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 996740 + ... + 1092653.

It is an arithmetic number, because the mean of its divisors is an integer number (4212218304).

Almost surely, 2^100201020101 is an apocalyptic number.

It is an amenable number.

100201020101 is a deficient number, since it is larger than the sum of its proper divisors (34589965627).

100201020101 is a wasteful number, since it uses less digits than its factorization.

100201020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089461.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100201020101 its reverse (101020102001), we get a palindrome (201221122102).

The spelling of 100201020101 in words is "one hundred billion, two hundred one million, twenty thousand, one hundred one".