10111122011101 has 4 divisors (see below), whose sum is σ = 10111140100000. Its totient is φ = 10111103922204.

The previous prime is 10111122011083. The next prime is 10111122011113. The reversal of 10111122011101 is 10111022111101.

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 a cyclic number.

It is not a de Polignac number, because 10111122011101 - 2²⁹ = 10110585140189 is a prime.

It is a super-2 number, since 2×10111122011101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111122011131) 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, 8178351 + ... + 9333148.

It is an arithmetic number, because the mean of its divisors is an integer number (2527785025000).

Almost surely, 2^{10111122011101} is an apocalyptic number.

It is an amenable number.

10111122011101 is a deficient number, since it is larger than the sum of its proper divisors (18088899).

10111122011101 is an equidigital number, since it uses as much as digits as its factorization.

10111122011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18088898.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 10111122011101 its reverse (10111022111101), we get a palindrome (20222144122202).

The spelling of 10111122011101 in words is "ten trillion, one hundred eleven billion, one hundred twenty-two million, eleven thousand, one hundred one".