1011111112001 has 8 divisors (see below), whose sum is σ = 1056638630784. Its totient is φ = 966584198160.

The previous prime is 1011111111971. The next prime is 1011111112007. The reversal of 1011111112001 is 1002111111101.

It is a happy number.

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 1011111112001 - 2⁶ = 1011111111937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011111112007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250149170 + ... + 250153211.

It is an arithmetic number, because the mean of its divisors is an integer number (132079828848).

Almost surely, 2^{1011111112001} is an apocalyptic number.

It is an amenable number.

1011111112001 is a deficient number, since it is larger than the sum of its proper divisors (45527518783).

1011111112001 is an equidigital number, since it uses as much as digits as its factorization.

1011111112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500302471.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 1011111112001 its reverse (1002111111101), we get a palindrome (2013222223102).

The spelling of 1011111112001 in words is "one trillion, eleven billion, one hundred eleven million, one hundred twelve thousand, one".