100220120101 has 8 divisors (see below), whose sum is σ = 101095840664. Its totient is φ = 99347938560.

The previous prime is 100220120083. The next prime is 100220120113. The reversal of 100220120101 is 101021022001.

It can be written as a sum of positive squares in 4 ways, for example, as 1793607201 + 98426512900 = 42351^2 + 313730^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100220120101 - 2⁷ = 100220119973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220124101) 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 7 ways as a sum of consecutive naturals, for example, 827856 + ... + 941161.

It is an arithmetic number, because the mean of its divisors is an integer number (12636980083).

Almost surely, 2^100220120101 is an apocalyptic number.

It is an amenable number.

100220120101 is a deficient number, since it is larger than the sum of its proper divisors (875720563).

100220120101 is a wasteful number, since it uses less digits than its factorization.

100220120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769511.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100220120101 its reverse (101021022001), we get a palindrome (201241142102).

The spelling of 100220120101 in words is "one hundred billion, two hundred twenty million, one hundred twenty thousand, one hundred one".