10202201220120 has 512 divisors, whose sum is σ = 37982368972800. Its totient is φ = 2134718281728.

The previous prime is 10202201220103. The next prime is 10202201220121. The reversal of 10202201220120 is 2102210220201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10202201220120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202201220121) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1613503279 + ... + 1613509601.

It is an arithmetic number, because the mean of its divisors is an integer number (74184314400).

Almost surely, 2^{10202201220120} is an apocalyptic number.

10202201220120 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 10202201220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18991184486400).

10202201220120 is an abundant number, since it is smaller than the sum of its proper divisors (27780167752680).

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

10202201220120 is a wasteful number, since it uses less digits than its factorization.

10202201220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7559 (or 7555 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10202201220120 its reverse (2102210220201), we get a palindrome (12304411440321).

The spelling of 10202201220120 in words is "ten trillion, two hundred two billion, two hundred one million, two hundred twenty thousand, one hundred twenty".