10111122110101 has 8 divisors (see below), whose sum is σ = 10554455159424. Its totient is φ = 9668098981200.

The previous prime is 10111122110053. The next prime is 10111122110107. The reversal of 10111122110101 is 10101122111101.

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 10111122110101 - 2²³ = 10111113721493 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 (10111122110107) 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, 77413425 + ... + 77543926.

It is an arithmetic number, because the mean of its divisors is an integer number (1319306894928).

Almost surely, 2^{10111122110101} is an apocalyptic number.

It is an amenable number.

10111122110101 is a deficient number, since it is larger than the sum of its proper divisors (443333049323).

10111122110101 is a wasteful number, since it uses less digits than its factorization.

10111122110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154960211.

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

Adding to 10111122110101 its reverse (10101122111101), we get a palindrome (20212244221202).

It can be divided in two parts, 1011112 and 2110101, that added together give a palindrome (3121213).

The spelling of 10111122110101 in words is "ten trillion, one hundred eleven billion, one hundred twenty-two million, one hundred ten thousand, one hundred one".