100201122020 has 12 divisors (see below), whose sum is σ = 210422356284. Its totient is φ = 40080448800.

The previous prime is 100201122019. The next prime is 100201122037. The reversal of 100201122020 is 20221102001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 41972536384 + 58228585636 = 204872^2 + 241306^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100201121992 and 100201122010.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2505028031 + ... + 2505028070.

It is an arithmetic number, because the mean of its divisors is an integer number (17535196357).

Almost surely, 2^100201122020 is an apocalyptic number.

100201122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201122020 is an abundant number, since it is smaller than the sum of its proper divisors (110221234264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100201122020 is a wasteful number, since it uses less digits than its factorization.

100201122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5010056110 (or 5010056108 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100201122020 its reverse (20221102001), we get a palindrome (120422224021).

The spelling of 100201122020 in words is "one hundred billion, two hundred one million, one hundred twenty-two thousand, twenty".