1111012100101 has 8 divisors (see below), whose sum is σ = 1134452121624. Its totient is φ = 1087794259200.

The previous prime is 1111012100089. The next prime is 1111012100113. The reversal of 1111012100101 is 1010012101111.

It is an interprime number because it is at equal distance from previous prime (1111012100089) and next prime (1111012100113).

It can be written as a sum of positive squares in 4 ways, for example, as 30015216001 + 1080996884100 = 173249^2 + 1039710^2 .

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 1111012100101 - 2⁵ = 1111012100069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111012100161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55535050 + ... + 55555051.

It is an arithmetic number, because the mean of its divisors is an integer number (141806515203).

Almost surely, 2^{1111012100101} is an apocalyptic number.

It is an amenable number.

1111012100101 is a deficient number, since it is larger than the sum of its proper divisors (23440021523).

1111012100101 is a wasteful number, since it uses less digits than its factorization.

1111012100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111090311.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1111012100101 its reverse (1010012101111), we get a palindrome (2121024201212).

The spelling of 1111012100101 in words is "one trillion, one hundred eleven billion, twelve million, one hundred thousand, one hundred one".