1001000100111 has 8 divisors (see below), whose sum is σ = 1456000145664. Its totient is φ = 606666727320.

The previous prime is 1001000100103. The next prime is 1001000100151. The reversal of 1001000100111 is 1110010001001.

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

It is not a de Polignac number, because 1001000100111 - 2³ = 1001000100103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1001000100111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001000100151) 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, 15166668151 + ... + 15166668216.

It is an arithmetic number, because the mean of its divisors is an integer number (182000018208).

Almost surely, 2^{1001000100111} is an apocalyptic number.

1001000100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001000100111 is a deficient number, since it is larger than the sum of its proper divisors (455000045553).

1001000100111 is a wasteful number, since it uses less digits than its factorization.

1001000100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30333336381.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1001000100111 its reverse (1110010001001), we get a palindrome (2111010101112).

It can be divided in two parts, 10010001001 and 11, that multiplied together give a palindrome (110110011011).

The spelling of 1001000100111 in words is "one trillion, one billion, one hundred thousand, one hundred eleven".