1020201031120 has 80 divisors (see below), whose sum is σ = 2520370382400. Its totient is φ = 382718380032.

The previous prime is 1020201031093. The next prime is 1020201031163. The reversal of 1020201031120 is 211301020201.

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

It is a super-2 number, since 2×1020201031120² (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 1020201031120.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 940470 + ... + 1710229.

It is an arithmetic number, because the mean of its divisors is an integer number (31504629780).

Almost surely, 2^{1020201031120} is an apocalyptic number.

1020201031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020201031120 is an abundant number, since it is smaller than the sum of its proper divisors (1500169351280).

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

1020201031120 is a wasteful number, since it uses less digits than its factorization.

1020201031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651012 (or 2651006 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1020201031120 its reverse (211301020201), we get a palindrome (1231502051321).

The spelling of 1020201031120 in words is "one trillion, twenty billion, two hundred one million, thirty-one thousand, one hundred twenty".