1110122120101 has 16 divisors (see below), whose sum is σ = 1148969645568. Its totient is φ = 1071466344000.

The previous prime is 1110122119973. The next prime is 1110122120123. The reversal of 1110122120101 is 1010212210111.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1110122120101 - 2⁷ = 1110122119973 is a prime.

It is a super-2 number, since 2×1110122120101² (a number of 25 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 (1110122120131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38396751 + ... + 38425651.

It is an arithmetic number, because the mean of its divisors is an integer number (71810602848).

Almost surely, 2^{1110122120101} is an apocalyptic number.

It is an amenable number.

1110122120101 is a deficient number, since it is larger than the sum of its proper divisors (38847525467).

1110122120101 is a wasteful number, since it uses less digits than its factorization.

1110122120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32172.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1110122120101 its reverse (1010212210111), we get a palindrome (2120334330212).

The spelling of 1110122120101 in words is "one trillion, one hundred ten billion, one hundred twenty-two million, one hundred twenty thousand, one hundred one".