100330111121 has 8 divisors (see below), whose sum is σ = 102875021088. Its totient is φ = 97789860000.

The previous prime is 100330111117. The next prime is 100330111159. The reversal of 100330111121 is 121111033001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100330111121 - 2² = 100330111117 is a prime.

It is a super-2 number, since 2×100330111121² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100330111096 and 100330111105.

It is not an unprimeable number, because it can be changed into a prime (100330111111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1121075 + ... + 1207256.

It is an arithmetic number, because the mean of its divisors is an integer number (12859377636).

Almost surely, 2^100330111121 is an apocalyptic number.

It is an amenable number.

100330111121 is a deficient number, since it is larger than the sum of its proper divisors (2544909967).

100330111121 is a wasteful number, since it uses less digits than its factorization.

100330111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329423.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 100330111121 its reverse (121111033001), we get a palindrome (221441144122).

The spelling of 100330111121 in words is "one hundred billion, three hundred thirty million, one hundred eleven thousand, one hundred twenty-one".