1101113211121 has 48 divisors (see below), whose sum is σ = 1386610928640. Its totient is φ = 849467412000.

The previous prime is 1101113211091. The next prime is 1101113211151. The reversal of 1101113211121 is 1211123111011.

It is an interprime number because it is at equal distance from previous prime (1101113211091) and next prime (1101113211151).

It is not a de Polignac number, because 1101113211121 - 2⁵ = 1101113211089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1101113211095 and 1101113211104.

It is not an unprimeable number, because it can be changed into a prime (1101113211151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 630287170 + ... + 630288916.

It is an arithmetic number, because the mean of its divisors is an integer number (28887727680).

Almost surely, 2^{1101113211121} is an apocalyptic number.

1101113211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1101113211121 is a deficient number, since it is larger than the sum of its proper divisors (285497717519).

1101113211121 is a wasteful number, since it uses less digits than its factorization.

1101113211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 16.

Adding to 1101113211121 its reverse (1211123111011), we get a palindrome (2312236322132).

The spelling of 1101113211121 in words is "one trillion, one hundred one billion, one hundred thirteen million, two hundred eleven thousand, one hundred twenty-one".