101101112007 has 16 divisors (see below), whose sum is σ = 156358225152. Its totient is φ = 56909793600.

The previous prime is 101101111999. The next prime is 101101112033. The reversal of 101101112007 is 700211101101.

It is not a de Polignac number, because 101101112007 - 2³ = 101101111999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101102007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35926494 + ... + 35929307.

It is an arithmetic number, because the mean of its divisors is an integer number (9772389072).

Almost surely, 2^101101112007 is an apocalyptic number.

101101112007 is a deficient number, since it is larger than the sum of its proper divisors (55257113145).

101101112007 is an equidigital number, since it uses as much as digits as its factorization.

101101112007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71855878.

The product of its (nonzero) digits is 14, while the sum is 15.

Adding to 101101112007 its reverse (700211101101), we get a palindrome (801312213108).

The spelling of 101101112007 in words is "one hundred one billion, one hundred one million, one hundred twelve thousand, seven".