1111010101001 has 6 divisors (see below), whose sum is σ = 1180207962270. Its totient is φ = 1045656565376.

The previous prime is 1111010100953. The next prime is 1111010101009. The reversal of 1111010101001 is 1001010101111.

It can be written as a sum of positive squares in 3 ways, for example, as 256400449600 + 854609651401 = 506360^2 + 924451^2 .

It is not a de Polignac number, because 1111010101001 - 2¹⁰ = 1111010099977 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 1111010101001.

It is not an unprimeable number, because it can be changed into a prime (1111010101009) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1922162516 + ... + 1922163093.

It is an arithmetic number, because the mean of its divisors is an integer number (196701327045).

Almost surely, 2^{1111010101001} is an apocalyptic number.

It is an amenable number.

1111010101001 is a deficient number, since it is larger than the sum of its proper divisors (69197861269).

1111010101001 is an equidigital number, since it uses as much as digits as its factorization.

1111010101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3844325643 (or 3844325626 counting only the distinct ones).

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

Adding to 1111010101001 its reverse (1001010101111), we get a palindrome (2112020202112).

The spelling of 1111010101001 in words is "one trillion, one hundred eleven billion, ten million, one hundred one thousand, one".