110020120111121 has 6 divisors (see below), whose sum is σ = 120931206403266. Its totient is φ = 100018291010000.

The previous prime is 110020120111091. The next prime is 110020120111129. The reversal of 110020120111121 is 121111021020011.

It can be written as a sum of positive squares in only one way, i.e., 109087350471121 + 932769640000 = 10444489^2 + 965800^2 .

It is a de Polignac number, because none of the positive numbers 2^k-110020120111121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110020120111096 and 110020120111105.

It is not an unprimeable number, because it can be changed into a prime (110020120111129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 454628595380 + ... + 454628595621.

It is an arithmetic number, because the mean of its divisors is an integer number (20155201067211).

Almost surely, 2^{110020120111121} is an apocalyptic number.

110020120111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110020120111121 is a deficient number, since it is larger than the sum of its proper divisors (10911086292145).

110020120111121 is an equidigital number, since it uses as much as digits as its factorization.

110020120111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909257191023 (or 909257191012 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 110020120111121 its reverse (121111021020011), we get a palindrome (231131141131132).

The spelling of 110020120111121 in words is "one hundred ten trillion, twenty billion, one hundred twenty million, one hundred eleven thousand, one hundred twenty-one".