1011020221120 has 448 divisors, whose sum is σ = 3066222845952. Its totient is φ = 308883456000.

The previous prime is 1011020221097. The next prime is 1011020221171. The reversal of 1011020221120 is 211220201101.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1011020221120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 443234380 + ... + 443236660.

It is an arithmetic number, because the mean of its divisors is an integer number (6844247424).

Almost surely, 2^{1011020221120} is an apocalyptic number.

1011020221120 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 1011020221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533111422976).

1011020221120 is an abundant number, since it is smaller than the sum of its proper divisors (2055202624832).

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

1011020221120 is a wasteful number, since it uses less digits than its factorization.

1011020221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1011020221120 its reverse (211220201101), we get a palindrome (1222240422221).

The spelling of 1011020221120 in words is "one trillion, eleven billion, twenty million, two hundred twenty-one thousand, one hundred twenty".