100101110121 has 16 divisors (see below), whose sum is σ = 148377024000. Its totient is φ = 66698486064.

The previous prime is 100101110111. The next prime is 100101110147. The reversal of 100101110121 is 121011101001.

It is not a de Polignac number, because 100101110121 - 2⁹ = 100101109609 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100101110111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 936921 + ... + 1038278.

It is an arithmetic number, because the mean of its divisors is an integer number (9273564000).

Almost surely, 2^100101110121 is an apocalyptic number.

It is an amenable number.

100101110121 is a deficient number, since it is larger than the sum of its proper divisors (48275913879).

100101110121 is a wasteful number, since it uses less digits than its factorization.

100101110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977085 (or 1977079 counting only the distinct ones).

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

Adding to 100101110121 its reverse (121011101001), we get a palindrome (221112211122).

The spelling of 100101110121 in words is "one hundred billion, one hundred one million, one hundred ten thousand, one hundred twenty-one".