10001101102111 has 4 divisors (see below), whose sum is σ = 11429829830992. Its totient is φ = 8572372373232.

The previous prime is 10001101102087. The next prime is 10001101102117. The reversal of 10001101102111 is 11120110110001.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 10001101102111 - 2⁵ = 10001101102079 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 (10001101102117) 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, 714364364430 + ... + 714364364443.

It is an arithmetic number, because the mean of its divisors is an integer number (2857457457748).

Almost surely, 2^{10001101102111} is an apocalyptic number.

10001101102111 is a deficient number, since it is larger than the sum of its proper divisors (1428728728881).

10001101102111 is an equidigital number, since it uses as much as digits as its factorization.

10001101102111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428728728880.

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

Adding to 10001101102111 its reverse (11120110110001), we get a palindrome (21121211212112).

The spelling of 10001101102111 in words is "ten trillion, one billion, one hundred one million, one hundred two thousand, one hundred eleven".