100201201101 has 24 divisors (see below), whose sum is σ = 147377151584. Its totient is φ = 65585388960.

The previous prime is 100201201073. The next prime is 100201201123. The reversal of 100201201101 is 101102102001.

It is a happy number.

It is not a de Polignac number, because 100201201101 - 2¹⁴ = 100201184717 is a prime.

It is a super-2 number, since 2×100201201101² (a number of 23 digits) contains 22 as substring.

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

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 (100201201181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133470 + ... + 467136.

Almost surely, 2^100201201101 is an apocalyptic number.

It is an amenable number.

100201201101 is a deficient number, since it is larger than the sum of its proper divisors (47175950483).

100201201101 is a wasteful number, since it uses less digits than its factorization.

100201201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334281 (or 334278 counting only the distinct ones).

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

Adding to 100201201101 its reverse (101102102001), we get a palindrome (201303303102).

It can be divided in two parts, 10020 and 1201101, that added together give a palindrome (1211121).

The spelling of 100201201101 in words is "one hundred billion, two hundred one million, two hundred one thousand, one hundred one".