100100100111007 has 8 divisors (see below), whose sum is σ = 100231909539840. Its totient is φ = 99968374348920.

The previous prime is 100100100110993. The next prime is 100100100111013. The reversal of 100100100111007 is 700111001001001.

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 100100100111007 - 2¹⁵ = 100100100078239 is a prime.

It is a super-2 number, since 2×100100100111007² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100100112007) 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, 18522103 + ... + 23308120.

It is an arithmetic number, because the mean of its divisors is an integer number (12528988692480).

Almost surely, 2^{100100100111007} is an apocalyptic number.

100100100111007 is a deficient number, since it is larger than the sum of its proper divisors (131809428833).

100100100111007 is a wasteful number, since it uses less digits than its factorization.

100100100111007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41833373.

The product of its (nonzero) digits is 7, while the sum is 13.

Adding to 100100100111007 its reverse (700111001001001), we get a palindrome (800211101112008).

The spelling of 100100100111007 in words is "one hundred trillion, one hundred billion, one hundred million, one hundred eleven thousand, seven".