100121002011 has 6 divisors (see below), whose sum is σ = 144619225140. Its totient is φ = 66747334668.

The previous prime is 100121002001. The next prime is 100121002043. The reversal of 100121002011 is 110200121001.

It is a happy number.

It is not a de Polignac number, because 100121002011 - 2²⁹ = 99584131099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11124555779 = 100121002011 / (1 + 0 + 0 + 1 + 2 + 1 + 0 + 0 + 2 + 0 + 1 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 100121001984 and 100121002002.

It is not an unprimeable number, because it can be changed into a prime (100121002001) 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 5 ways as a sum of consecutive naturals, for example, 5562277881 + ... + 5562277898.

It is an arithmetic number, because the mean of its divisors is an integer number (24103204190).

Almost surely, 2^100121002011 is an apocalyptic number.

100121002011 is a deficient number, since it is larger than the sum of its proper divisors (44498223129).

100121002011 is a wasteful number, since it uses less digits than its factorization.

100121002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11124555785 (or 11124555782 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100121002011 its reverse (110200121001), we get a palindrome (210321123012).

The spelling of 100121002011 in words is "one hundred billion, one hundred twenty-one million, two thousand, eleven".