1120101111121 has 6 divisors (see below), whose sum is σ = 1182156574722. Its totient is φ = 1061148420720.

The previous prime is 1120101111113. The next prime is 1120101111139. The reversal of 1120101111121 is 1211111010211.

It can be written as a sum of positive squares in only one way, i.e., 1110207824896 + 9893286225 = 1053664^2 + 99465^2 .

It is not a de Polignac number, because 1120101111121 - 2³ = 1120101111113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1120101171121) 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, 1551386220 + ... + 1551386941.

It is an arithmetic number, because the mean of its divisors is an integer number (197026095787).

Almost surely, 2^{1120101111121} is an apocalyptic number.

It is an amenable number.

1120101111121 is a deficient number, since it is larger than the sum of its proper divisors (62055463601).

1120101111121 is an equidigital number, since it uses as much as digits as its factorization.

1120101111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3102773199 (or 3102773180 counting only the distinct ones).

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

Adding to 1120101111121 its reverse (1211111010211), we get a palindrome (2331212121332).

The spelling of 1120101111121 in words is "one trillion, one hundred twenty billion, one hundred one million, one hundred eleven thousand, one hundred twenty-one".