100111101011001 has 16 divisors (see below), whose sum is σ = 148362662499520. Its totient is φ = 66718269889920.

The previous prime is 100111101010931. The next prime is 100111101011023. The reversal of 100111101011001 is 100110101111001.

100111101011001 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 100111101011001 - 2⁷ = 100111101010873 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111101012001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 623921560 + ... + 624081993.

It is an arithmetic number, because the mean of its divisors is an integer number (9272666406220).

Almost surely, 2^{100111101011001} is an apocalyptic number.

It is an amenable number.

100111101011001 is a deficient number, since it is larger than the sum of its proper divisors (48251561488519).

100111101011001 is a wasteful number, since it uses less digits than its factorization.

100111101011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248006533 (or 1248006527 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100111101011001 its reverse (100110101111001), we get a palindrome (200221202122002).

The spelling of 100111101011001 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, eleven thousand, one".