1100212113120 has 48 divisors (see below), whose sum is σ = 3465668157840. Its totient is φ = 293389896704.

The previous prime is 1100212113113. The next prime is 1100212113127. The reversal of 1100212113120 is 213112120011.

It is an interprime number because it is at equal distance from previous prime (1100212113113) and next prime (1100212113127).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1100212113120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1100212113120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100212113127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1146053805 + ... + 1146054764.

It is an arithmetic number, because the mean of its divisors is an integer number (72201419955).

Almost surely, 2^{1100212113120} is an apocalyptic number.

1100212113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100212113120 is an abundant number, since it is smaller than the sum of its proper divisors (2365456044720).

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

1100212113120 is a wasteful number, since it uses less digits than its factorization.

1100212113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292108587 (or 2292108579 counting only the distinct ones).

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

Adding to 1100212113120 its reverse (213112120011), we get a palindrome (1313324233131).

The spelling of 1100212113120 in words is "one trillion, one hundred billion, two hundred twelve million, one hundred thirteen thousand, one hundred twenty".