100112001002007 has 16 divisors (see below), whose sum is σ = 137090929778400. Its totient is φ = 64937219484672.

The previous prime is 100112001001963. The next prime is 100112001002033. The reversal of 100112001002007 is 700200100211001.

It is not a de Polignac number, because 100112001002007 - 2²² = 100111996807703 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112001002047) 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, 24012619 + ... + 27871667.

It is an arithmetic number, because the mean of its divisors is an integer number (8568183111150).

Almost surely, 2^{100112001002007} is an apocalyptic number.

100112001002007 is a deficient number, since it is larger than the sum of its proper divisors (36978928776393).

100112001002007 is a wasteful number, since it uses less digits than its factorization.

100112001002007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4092802.

The product of its (nonzero) digits is 28, while the sum is 15.

Adding to 100112001002007 its reverse (700200100211001), we get a palindrome (800312101213008).

The spelling of 100112001002007 in words is "one hundred trillion, one hundred twelve billion, one million, two thousand, seven".