1010201221120 has 192 divisors, whose sum is σ = 2983253232960. Its totient is φ = 319711739904.

The previous prime is 1010201221111. The next prime is 1010201221151. The reversal of 1010201221120 is 211221020101.

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 1010201221120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389794 + ... + 1473886.

It is an arithmetic number, because the mean of its divisors is an integer number (15537777255).

Almost surely, 2^{1010201221120} is an apocalyptic number.

1010201221120 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 1010201221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491626616480).

1010201221120 is an abundant number, since it is smaller than the sum of its proper divisors (1973052011840).

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

1010201221120 is a wasteful number, since it uses less digits than its factorization.

1010201221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084140 (or 1084120 counting only the distinct ones).

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

Adding to 1010201221120 its reverse (211221020101), we get a palindrome (1221422241221).

It can be divided in two parts, 1010201 and 221120, that added together give a palindrome (1231321).

The spelling of 1010201221120 in words is "one trillion, ten billion, two hundred one million, two hundred twenty-one thousand, one hundred twenty".