100111121111001 has 192 divisors, whose sum is σ = 185788799852544. Its totient is φ = 46624608391680.

The previous prime is 100111121110991. The next prime is 100111121111081.

100111121111001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100111121111001 - 2¹⁰ = 100111121109977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100111121111081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 688037680 + ... + 688183166.

It is an arithmetic number, because the mean of its divisors is an integer number (967649999232).

Almost surely, 2^{100111121111001} is an apocalyptic number.

100111121111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111121111001 is a deficient number, since it is larger than the sum of its proper divisors (85677678741543).

100111121111001 is a wasteful number, since it uses less digits than its factorization.

100111121111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146132 (or 146121 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

The spelling of 100111121111001 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty-one million, one hundred eleven thousand, one".