1121101112010 has 128 divisors (see below), whose sum is σ = 3020243500800. Its totient is φ = 264013568000.

The previous prime is 1121101111993. The next prime is 1121101112011. The reversal of 1121101112010 is 102111011211.

It is not an unprimeable number, because it can be changed into a prime (1121101112011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1449166 + ... + 2083814.

It is an arithmetic number, because the mean of its divisors is an integer number (23595652350).

Almost surely, 2^{1121101112010} is an apocalyptic number.

1121101112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121101112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510121750400).

1121101112010 is an abundant number, since it is smaller than the sum of its proper divisors (1899142388790).

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

1121101112010 is a wasteful number, since it uses less digits than its factorization.

1121101112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634824.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1121101112010 its reverse (102111011211), we get a palindrome (1223212123221).

The spelling of 1121101112010 in words is "one trillion, one hundred twenty-one billion, one hundred one million, one hundred twelve thousand, ten".