1021132211120 has 160 divisors (see below), whose sum is σ = 2793177475200. Its totient is φ = 347003166720.

The previous prime is 1021132211117. The next prime is 1021132211147. The reversal of 1021132211120 is 211122311201.

It is a happy number.

It is an unprimeable number.

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, 2936060 + ... + 3265380.

It is an arithmetic number, because the mean of its divisors is an integer number (17457359220).

Almost surely, 2^{1021132211120} is an apocalyptic number.

1021132211120 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 1021132211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396588737600).

1021132211120 is an abundant number, since it is smaller than the sum of its proper divisors (1772045264080).

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

1021132211120 is a wasteful number, since it uses less digits than its factorization.

1021132211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329468 (or 329448 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1021132211120 its reverse (211122311201), we get a palindrome (1232254522321).

The spelling of 1021132211120 in words is "one trillion, twenty-one billion, one hundred thirty-two million, two hundred eleven thousand, one hundred twenty".