100110010000111 has 8 divisors (see below), whose sum is σ = 101678515747200. Its totient is φ = 98543690326488.

The previous prime is 100110010000061. The next prime is 100110010000157. The reversal of 100110010000111 is 111000010011001.

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 100110010000111 - 2¹³ = 100110009991919 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100110010000094 and 100110010000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110010040111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 546426061 + ... + 546609238.

It is an arithmetic number, because the mean of its divisors is an integer number (12709814468400).

Almost surely, 2^{100110010000111} is an apocalyptic number.

100110010000111 is a deficient number, since it is larger than the sum of its proper divisors (1568505747089).

100110010000111 is a wasteful number, since it uses less digits than its factorization.

100110010000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093036733.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100110010000111 its reverse (111000010011001), we get a palindrome (211110020011112).

The spelling of 100110010000111 in words is "one hundred trillion, one hundred ten billion, ten million, one hundred eleven", and thus it is an aban number.