1100011012101 has 6 divisors (see below), whose sum is σ = 1588904795270. Its totient is φ = 733340674728.

The previous prime is 1100011012099. The next prime is 1100011012123. The reversal of 1100011012101 is 1012101100011.

It can be written as a sum of positive squares in only one way, i.e., 683017949601 + 416993062500 = 826449^2 + 645750^2 .

It is not a de Polignac number, because 1100011012101 - 2¹ = 1100011012099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 122223445789 = 1100011012101 / (1 + 1 + 0 + 0 + 0 + 1 + 1 + 0 + 1 + 2 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100011012141) 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, 61111722886 + ... + 61111722903.

Almost surely, 2^{1100011012101} is an apocalyptic number.

It is an amenable number.

1100011012101 is a deficient number, since it is larger than the sum of its proper divisors (488893783169).

1100011012101 is a wasteful number, since it uses less digits than its factorization.

1100011012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122223445795 (or 122223445792 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1100011012101 its reverse (1012101100011), we get a palindrome (2112112112112).

The spelling of 1100011012101 in words is "one trillion, one hundred billion, eleven million, twelve thousand, one hundred one".