1020211111120 has 80 divisors (see below), whose sum is σ = 2381083672320. Its totient is φ = 406522483712.

The previous prime is 1020211111111. The next prime is 1020211111201. The reversal of 1020211111120 is 211111120201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1020211111120² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1020211111120.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 28213692 + ... + 28249828.

It is an arithmetic number, because the mean of its divisors is an integer number (29763545904).

Almost surely, 2^{1020211111120} is an apocalyptic number.

1020211111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020211111120 is an abundant number, since it is smaller than the sum of its proper divisors (1360872561200).

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

1020211111120 is a wasteful number, since it uses less digits than its factorization.

1020211111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37492 (or 37486 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1020211111120 its reverse (211111120201), we get a palindrome (1231322231321).

The spelling of 1020211111120 in words is "one trillion, twenty billion, two hundred eleven million, one hundred eleven thousand, one hundred twenty".