100001021000111 has 8 divisors (see below), whose sum is σ = 124676597610624. Its totient is φ = 77922873506520.

The previous prime is 100001021000053. The next prime is 100001021000143. The reversal of 100001021000111 is 111000120100001.

It is a happy number.

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

It is a de Polignac number, because none of the positive numbers 2^k-100001021000111 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001021002111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 649357279145 + ... + 649357279298.

It is an arithmetic number, because the mean of its divisors is an integer number (15584574701328).

Almost surely, 2^{100001021000111} is an apocalyptic number.

100001021000111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100001021000111 is a deficient number, since it is larger than the sum of its proper divisors (24675576610513).

100001021000111 is a wasteful number, since it uses less digits than its factorization.

100001021000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298714558461.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100001021000111 its reverse (111000120100001), we get a palindrome (211001141100112).

The spelling of 100001021000111 in words is "one hundred trillion, one billion, twenty-one million, one hundred eleven", and thus it is an aban number.