100201120101 has 24 divisors (see below), whose sum is σ = 148120068096. Its totient is φ = 65238788160.

The previous prime is 100201120081. The next prime is 100201120109. The reversal of 100201120101 is 101021102001.

It is a happy number.

It is not a de Polignac number, because 100201120101 - 2⁷ = 100201119973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201120109) 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 23 ways as a sum of consecutive naturals, for example, 4649116 + ... + 4670618.

It is an arithmetic number, because the mean of its divisors is an integer number (6171669504).

Almost surely, 2^100201120101 is an apocalyptic number.

It is an amenable number.

100201120101 is a deficient number, since it is larger than the sum of its proper divisors (47918947995).

100201120101 is a wasteful number, since it uses less digits than its factorization.

100201120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33593 (or 33590 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100201120101 its reverse (101021102001), we get a palindrome (201222222102).

The spelling of 100201120101 in words is "one hundred billion, two hundred one million, one hundred twenty thousand, one hundred one".