100111121001 has 12 divisors (see below), whose sum is σ = 148513195012. Its totient is φ = 64936943136.

The previous prime is 100111120957. The next prime is 100111121027. The reversal of 100111121001 is 100121111001.

It can be written as a sum of positive squares in 2 ways, for example, as 47709043776 + 52402077225 = 218424^2 + 228915^2 .

It is not a de Polignac number, because 100111121001 - 2⁷ = 100111120873 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111121501) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150316666 + ... + 150317331.

Almost surely, 2^100111121001 is an apocalyptic number.

It is an amenable number.

100111121001 is a deficient number, since it is larger than the sum of its proper divisors (48402074011).

100111121001 is a wasteful number, since it uses less digits than its factorization.

100111121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300634040 (or 300634037 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100111121001 its reverse (100121111001), we get a palindrome (200232232002).

The spelling of 100111121001 in words is "one hundred billion, one hundred eleven million, one hundred twenty-one thousand, one".