100010121111 has 12 divisors (see below), whose sum is σ = 144895500360. Its totient is φ = 66471981840.

The previous prime is 100010121089. The next prime is 100010121161. The reversal of 100010121111 is 111121010001.

It is not a de Polignac number, because 100010121111 - 2⁷ = 100010120983 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 100010121093 and 100010121102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010121161) 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 11 ways as a sum of consecutive naturals, for example, 16782876 + ... + 16788833.

It is an arithmetic number, because the mean of its divisors is an integer number (12074625030).

Almost surely, 2^100010121111 is an apocalyptic number.

100010121111 is a deficient number, since it is larger than the sum of its proper divisors (44885379249).

100010121111 is a wasteful number, since it uses less digits than its factorization.

100010121111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33572046 (or 33572043 counting only the distinct ones).

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

Adding to 100010121111 its reverse (111121010001), we get a palindrome (211131131112).

The spelling of 100010121111 in words is "one hundred billion, ten million, one hundred twenty-one thousand, one hundred eleven".