10001101100003 has 8 divisors (see below), whose sum is σ = 10773802472496. Its totient is φ = 9228883428000.

The previous prime is 10001101099987. The next prime is 10001101100021. The reversal of 10001101100003 is 30000110110001.

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 10001101100003 - 2⁴ = 10001101099987 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001101100303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120882173 + ... + 120964878.

It is an arithmetic number, because the mean of its divisors is an integer number (1346725309062).

Almost surely, 2^{10001101100003} is an apocalyptic number.

10001101100003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10001101100003 is a deficient number, since it is larger than the sum of its proper divisors (772701372493).

10001101100003 is a wasteful number, since it uses less digits than its factorization.

10001101100003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241850245.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 10001101100003 its reverse (30000110110001), we get a palindrome (40001211210004).

The spelling of 10001101100003 in words is "ten trillion, one billion, one hundred one million, one hundred thousand, three".