10111010101001 has 8 divisors (see below), whose sum is σ = 10249944686784. Its totient is φ = 9972836801200.

The previous prime is 10111010100977. The next prime is 10111010101039. The reversal of 10111010101001 is 10010101011101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10111010101001 - 2¹⁰ = 10111010099977 is a prime.

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 10111010101001.

It is not an unprimeable number, because it can be changed into a prime (10111010101061) 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 7 ways as a sum of consecutive naturals, for example, 190294751 + ... + 190347876.

It is an arithmetic number, because the mean of its divisors is an integer number (1281243085848).

Almost surely, 2^{10111010101001} is an apocalyptic number.

It is an amenable number.

10111010101001 is a deficient number, since it is larger than the sum of its proper divisors (138934585783).

10111010101001 is a wasteful number, since it uses less digits than its factorization.

10111010101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380642991.

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

Adding to 10111010101001 its reverse (10010101011101), we get a palindrome (20121111112102).

The spelling of 10111010101001 in words is "ten trillion, one hundred eleven billion, ten million, one hundred one thousand, one".