10112221001100 has 144 divisors (see below), whose sum is σ = 31084949498400. Its totient is φ = 2533238507520.

The previous prime is 10112221001089. The next prime is 10112221001147. The reversal of 10112221001100 is 110012221101.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15385185 + ... + 16028984.

It is an arithmetic number, because the mean of its divisors is an integer number (215867704850).

Almost surely, 2^{10112221001100} is an apocalyptic number.

10112221001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112221001100 is an abundant number, since it is smaller than the sum of its proper divisors (20972728497300).

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

10112221001100 is a wasteful number, since it uses less digits than its factorization.

10112221001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31414252 (or 31414245 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10112221001100 its reverse (110012221101), we get a palindrome (10222233222201).

It can be divided in two parts, 10112221001 and 100, that added together give a palindrome (10112221101).

The spelling of 10112221001100 in words is "ten trillion, one hundred twelve billion, two hundred twenty-one million, one thousand, one hundred".