1001100213120 has 256 divisors, whose sum is σ = 3649588462080. Its totient is φ = 228652032000.

The previous prime is 1001100213109. The next prime is 1001100213121. The reversal of 1001100213120 is 213120011001.

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

It is a junction number, because it is equal to n+sod(n) for n = 1001100213096 and 1001100213105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001100213121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18425995 + ... + 18480245.

It is an arithmetic number, because the mean of its divisors is an integer number (14256204930).

Almost surely, 2^{1001100213120} is an apocalyptic number.

1001100213120 is a gapful number since it is divisible by the number (10) 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 1001100213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824794231040).

1001100213120 is an abundant number, since it is smaller than the sum of its proper divisors (2648488248960).

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

1001100213120 is a wasteful number, since it uses less digits than its factorization.

1001100213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55653 (or 55641 counting only the distinct ones).

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

Adding to 1001100213120 its reverse (213120011001), we get a palindrome (1214220224121).

The spelling of 1001100213120 in words is "one trillion, one billion, one hundred million, two hundred thirteen thousand, one hundred twenty".