100010111111001 has 192 divisors, whose sum is σ = 188934421777920. Its totient is φ = 49547298447360.

The previous prime is 100010111110937. The next prime is 100010111111051. The reversal of 100010111111001 is 100111111010001.

It is not a de Polignac number, because 100010111111001 - 2⁶ = 100010111110937 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (100010111111051) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7101470706 + ... + 7101484788.

It is an arithmetic number, because the mean of its divisors is an integer number (984033446760).

Almost surely, 2^{100010111111001} is an apocalyptic number.

It is an amenable number.

100010111111001 is a deficient number, since it is larger than the sum of its proper divisors (88924310666919).

100010111111001 is a wasteful number, since it uses less digits than its factorization.

100010111111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22256 (or 22253 counting only the distinct ones).

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

Adding to 100010111111001 its reverse (100111111010001), we get a palindrome (200121222121002).

The spelling of 100010111111001 in words is "one hundred trillion, ten billion, one hundred eleven million, one hundred eleven thousand, one".