100101111001006 has 64 divisors (see below), whose sum is σ = 160019198486784. Its totient is φ = 46800568281600.

The previous prime is 100101111000977. The next prime is 100101111001043. The reversal of 100101111001006 is 600100111101001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15575087965 + ... + 15575094391.

It is an arithmetic number, because the mean of its divisors is an integer number (2500299976356).

Almost surely, 2^{100101111001006} is an apocalyptic number.

100101111001006 is a deficient number, since it is larger than the sum of its proper divisors (59918087485778).

100101111001006 is a wasteful number, since it uses less digits than its factorization.

100101111001006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10145.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 100101111001006 its reverse (600100111101001), we get a palindrome (700201222102007).

The spelling of 100101111001006 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, one thousand, six".