100002001121 has 16 divisors (see below), whose sum is σ = 110499415488. Its totient is φ = 89740800000.

The previous prime is 100002001111. The next prime is 100002001147. The reversal of 100002001121 is 121100200001.

It is a cyclic number.

It is not a de Polignac number, because 100002001121 - 2³⁴ = 82822131937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100002001099 and 100002001108.

It is not an unprimeable number, because it can be changed into a prime (100002001111) 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 15 ways as a sum of consecutive naturals, for example, 1066121 + ... + 1156121.

It is an arithmetic number, because the mean of its divisors is an integer number (6906213468).

Almost surely, 2^100002001121 is an apocalyptic number.

100002001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100002001121 is a deficient number, since it is larger than the sum of its proper divisors (10497414367).

100002001121 is a wasteful number, since it uses less digits than its factorization.

100002001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91312.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100002001121 its reverse (121100200001), we get a palindrome (221102201122).

The spelling of 100002001121 in words is "one hundred billion, two million, one thousand, one hundred twenty-one".