1111001010101 has 8 divisors (see below), whose sum is σ = 1122662360664. Its totient is φ = 1099352627200.

The previous prime is 1111001010083. The next prime is 1111001010103. The reversal of 1111001010101 is 1010101001111.

It can be written as a sum of positive squares in 4 ways, for example, as 513696159076 + 597304851025 = 716726^2 + 772855^2 .

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 1111001010101 - 2⁶ = 1111001010037 is a prime.

It is a Duffinian number.

1111001010101 is a modest number, since divided by 1010101 gives 11110 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111001010103) 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, 3069620 + ... + 3412413.

It is an arithmetic number, because the mean of its divisors is an integer number (140332795083).

Almost surely, 2^{1111001010101} is an apocalyptic number.

It is an amenable number.

1111001010101 is a deficient number, since it is larger than the sum of its proper divisors (11661350563).

1111001010101 is a wasteful number, since it uses less digits than its factorization.

1111001010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6483831.

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

Adding to 1111001010101 its reverse (1010101001111), we get a palindrome (2121102011212).

It can be divided in two parts, 1111001010 and 101, that added together give a palindrome (1111001111).

The spelling of 1111001010101 in words is "one trillion, one hundred eleven billion, one million, ten thousand, one hundred one".