1101121112 has 64 divisors (see below), whose sum is σ = 2554675200. Its totient is φ = 433272960.

The previous prime is 1101121061. The next prime is 1101121121. The reversal of 1101121112 is 2111211011.

It is a junction number, because it is equal to n+sod(n) for n = 1101121093 and 1101121102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135089 + ... + 143007.

It is an arithmetic number, because the mean of its divisors is an integer number (39916800).

Almost surely, 2^1101121112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277337600).

1101121112 is an abundant number, since it is smaller than the sum of its proper divisors (1453554088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1101121112 is a wasteful number, since it uses less digits than its factorization.

1101121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8136 (or 8132 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

The square root of 1101121112 is about 33183.1449986284. The cubic root of 1101121112 is about 1032.6306938431.

Adding to 1101121112 its reverse (2111211011), we get a palindrome (3212332123).

It can be divided in two parts, 11011 and 21112, that multiplied together give a palindrome (232464232).

The spelling of 1101121112 in words is "one billion, one hundred one million, one hundred twenty-one thousand, one hundred twelve".