1100101232112 has 160 divisors (see below), whose sum is σ = 3076954848000. Its totient is φ = 337560846336.

The previous prime is 1100101232057. The next prime is 1100101232117. The reversal of 1100101232112 is 2112321010011.

It is a junction number, because it is equal to n+sod(n) for n = 1100101232091 and 1100101232100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100101232117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7496014 + ... + 7641362.

It is an arithmetic number, because the mean of its divisors is an integer number (19230967800).

Almost surely, 2^{1100101232112} is an apocalyptic number.

1100101232112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100101232112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538477424000).

1100101232112 is an abundant number, since it is smaller than the sum of its proper divisors (1976853615888).

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

1100101232112 is a wasteful number, since it uses less digits than its factorization.

1100101232112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145615 (or 145609 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1100101232112 its reverse (2112321010011), we get a palindrome (3212422242123).

The spelling of 1100101232112 in words is "one trillion, one hundred billion, one hundred one million, two hundred thirty-two thousand, one hundred twelve".