1000101111001 has 4 divisors (see below), whose sum is σ = 1052738011600. Its totient is φ = 947464210404.

The previous prime is 1000101110959. The next prime is 1000101111013. The reversal of 1000101111001 is 1001111010001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1000101111001 - 2²⁹ = 999564240089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000101112001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26318450271 + ... + 26318450308.

It is an arithmetic number, because the mean of its divisors is an integer number (263184502900).

Almost surely, 2^{1000101111001} is an apocalyptic number.

It is an amenable number.

1000101111001 is a deficient number, since it is larger than the sum of its proper divisors (52636900599).

1000101111001 is an equidigital number, since it uses as much as digits as its factorization.

1000101111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52636900598.

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

Adding to 1000101111001 its reverse (1001111010001), we get a palindrome (2001212121002).

The spelling of 1000101111001 in words is "one trillion, one hundred one million, one hundred eleven thousand, one".