100101110110001 has 128 divisors (see below), whose sum is σ = 135655997030400. Its totient is φ = 71332918272000.

The previous prime is 100101110109997. The next prime is 100101110110003. The reversal of 100101110110001 is 100011011101001.

It is not a de Polignac number, because 100101110110001 - 2² = 100101110109997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100101110110003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43315061636 + ... + 43315063946.

It is an arithmetic number, because the mean of its divisors is an integer number (1059812476800).

Almost surely, 2^{100101110110001} is an apocalyptic number.

100101110110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101110110001 is a deficient number, since it is larger than the sum of its proper divisors (35554886920399).

100101110110001 is a wasteful number, since it uses less digits than its factorization.

100101110110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3431.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100101110110001 its reverse (100011011101001), we get a palindrome (200112121211002).

The spelling of 100101110110001 in words is "one hundred trillion, one hundred one billion, one hundred ten million, one hundred ten thousand, one".