1101211100112 has 160 divisors (see below), whose sum is σ = 3047473877760. Its totient is φ = 341438423040.

The previous prime is 1101211100057. The next prime is 1101211100113. The reversal of 1101211100112 is 2110011121011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101211100113) 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 31 ways as a sum of consecutive naturals, for example, 42767562 + ... + 42793302.

It is an arithmetic number, because the mean of its divisors is an integer number (19046711736).

Almost surely, 2^{1101211100112} is an apocalyptic number.

1101211100112 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 1101211100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523736938880).

1101211100112 is an abundant number, since it is smaller than the sum of its proper divisors (1946262777648).

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

1101211100112 is a wasteful number, since it uses less digits than its factorization.

1101211100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26381 (or 26375 counting only the distinct ones).

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

Adding to 1101211100112 its reverse (2110011121011), we get a palindrome (3211222221123).

The spelling of 1101211100112 in words is "one trillion, one hundred one billion, two hundred eleven million, one hundred thousand, one hundred twelve".