10010111101001 has 16 divisors (see below), whose sum is σ = 11089170945216. Its totient is φ = 8960221800000.

The previous prime is 10010111100967. The next prime is 10010111101031.

10010111101001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10010111101001 - 2¹⁰ = 10010111099977 is a prime.

10010111101001 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10010111101001.

It is not an unprimeable number, because it can be changed into a prime (10010111101031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24688415 + ... + 25090596.

It is an arithmetic number, because the mean of its divisors is an integer number (693073184076).

Almost surely, 2^{10010111101001} is an apocalyptic number.

10010111101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010111101001 is a deficient number, since it is larger than the sum of its proper divisors (1079059844215).

10010111101001 is a wasteful number, since it uses less digits than its factorization.

10010111101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49779304.

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

It can be divided in two parts, 1001011 and 1101001, that multiplied together give a palindrome (1102114112011).

The spelling of 10010111101001 in words is "ten trillion, ten billion, one hundred eleven million, one hundred one thousand, one".