100010101010001 has 96 divisors (see below), whose sum is σ = 170240846194944. Its totient is φ = 50813516160000.

The previous prime is 100010101009997. The next prime is 100010101010009.

100010101010001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100010101010001 - 2² = 100010101009997 is a prime.

100010101010001 is a strobogrammatic number because it is the same when read upside-down.

It is not an unprimeable number, because it can be changed into a prime (100010101010009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10101005151 + ... + 10101015051.

It is an arithmetic number, because the mean of its divisors is an integer number (1773342147864).

Almost surely, 2^{100010101010001} is an apocalyptic number.

It is an amenable number.

100010101010001 is a deficient number, since it is larger than the sum of its proper divisors (70230745184943).

100010101010001 is an frugal number, since it uses more digits than its factorization.

100010101010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19963 (or 10062 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

It can be divided in two parts, 10001010 and 1010001, that added together give a palindrome (11011011).

The spelling of 100010101010001 in words is "one hundred trillion, ten billion, one hundred one million, ten thousand, one".