1101001100101 has 4 divisors (see below), whose sum is σ = 1258286971552. Its totient is φ = 943715228652.

The previous prime is 1101001100083. The next prime is 1101001100113. The reversal of 1101001100101 is 1010011001011.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 1101001100101 - 2⁹ = 1101001099589 is a prime.

It is a super-2 number, since 2×1101001100101² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7), and also a Moran number because the ratio is a prime number: 157285871443 = 1101001100101 / (1 + 1 + 0 + 1 + 0 + 0 + 1 + 1 + 0 + 0 + 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 (1101001100131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 78642935715 + ... + 78642935728.

It is an arithmetic number, because the mean of its divisors is an integer number (314571742888).

Almost surely, 2^{1101001100101} is an apocalyptic number.

It is an amenable number.

1101001100101 is a deficient number, since it is larger than the sum of its proper divisors (157285871451).

1101001100101 is an equidigital number, since it uses as much as digits as its factorization.

1101001100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157285871450.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1101001100101 its reverse (1010011001011), we get a palindrome (2111012101112).

The spelling of 1101001100101 in words is "one trillion, one hundred one billion, one million, one hundred thousand, one hundred one".