100120101 has 24 divisors (see below), whose sum is σ = 141914880. Its totient is φ = 62774784.

The previous prime is 100120091. The next prime is 100120159. The reversal of 100120101 is 101021001.

It is not a de Polignac number, because 100120101 - 2⁶ = 100120037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100120101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208780 + ... + 209258.

It is an arithmetic number, because the mean of its divisors is an integer number (5913120).

Almost surely, 2^100120101 is an apocalyptic number.

It is an amenable number.

100120101 is a deficient number, since it is larger than the sum of its proper divisors (41794779).

100120101 is a wasteful number, since it uses less digits than its factorization.

100120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 100120101 is about 10006.0032480506. The cubic root of 100120101 is about 464.3446288406.

Adding to 100120101 its reverse (101021001), we get a palindrome (201141102).

The spelling of 100120101 in words is "one hundred million, one hundred twenty thousand, one hundred one".