100120011 has 32 divisors (see below), whose sum is σ = 141170688. Its totient is φ = 63060480.

The previous prime is 100120003. The next prime is 100120037. The reversal of 100120011 is 110021001.

It is not a de Polignac number, because 100120011 - 2³ = 100120003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100120091) 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 31 ways as a sum of consecutive naturals, for example, 730735 + ... + 730871.

It is an arithmetic number, because the mean of its divisors is an integer number (4411584).

Almost surely, 2^100120011 is an apocalyptic number.

100120011 is a deficient number, since it is larger than the sum of its proper divisors (41050677).

100120011 is a wasteful number, since it uses less digits than its factorization.

100120011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331.

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

The square root of 100120011 is about 10005.9987507495. The cubic root of 100120011 is about 464.3444897042.

Adding to 100120011 its reverse (110021001), we get a palindrome (210141012).

It can be divided in two parts, 1001 and 20011, that added together give a palindrome (21012).

The spelling of 100120011 in words is "one hundred million, one hundred twenty thousand, eleven".