10000110101001 has 16 divisors (see below), whose sum is σ = 13696618930944. Its totient is φ = 6485243681664.

The previous prime is 10000110100991. The next prime is 10000110101021. The reversal of 10000110101001 is 10010101100001.

It is not a de Polignac number, because 10000110101001 - 2²⁷ = 9999975883273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10000110101021) 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, 8576065 + ... + 9672078.

It is an arithmetic number, because the mean of its divisors is an integer number (856038683184).

Almost surely, 2^{10000110101001} is an apocalyptic number.

It is an amenable number.

10000110101001 is a deficient number, since it is larger than the sum of its proper divisors (3696508829943).

10000110101001 is a wasteful number, since it uses less digits than its factorization.

10000110101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18253120.

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

Adding to 10000110101001 its reverse (10010101100001), we get a palindrome (20010211201002).

The spelling of 10000110101001 in words is "ten trillion, one hundred ten million, one hundred one thousand, one".