100101110100001 has 16 divisors (see below), whose sum is σ = 101794494192768. Its totient is φ = 98413739424000.

The previous prime is 100101110099987. The next prime is 100101110100029. The reversal of 100101110100001 is 100001011101001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100101110100001 - 2¹¹ = 100101110097953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101110100041) 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, 87400236 + ... + 88538146.

It is an arithmetic number, because the mean of its divisors is an integer number (6362155887048).

Almost surely, 2^{100101110100001} is an apocalyptic number.

It is an amenable number.

100101110100001 is a deficient number, since it is larger than the sum of its proper divisors (1693384092767).

100101110100001 is a wasteful number, since it uses less digits than its factorization.

100101110100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140552.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100101110100001 its reverse (100001011101001), we get a palindrome (200102121201002).

The spelling of 100101110100001 in words is "one hundred trillion, one hundred one billion, one hundred ten million, one hundred thousand, one".