10202210443120 has 80 divisors (see below), whose sum is σ = 24070968243360. Its totient is φ = 4020646920192.

The previous prime is 10202210443081. The next prime is 10202210443121. The reversal of 10202210443120 is 2134401220201.

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

It is a super-3 number, since 3×10202210443120³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10202210443091 and 10202210443100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202210443121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4485127 + ... + 6365593.

It is an arithmetic number, because the mean of its divisors is an integer number (300887103042).

Almost surely, 2^{10202210443120} is an apocalyptic number.

10202210443120 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 10202210443120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12035484121680).

10202210443120 is an abundant number, since it is smaller than the sum of its proper divisors (13868757800240).

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

10202210443120 is a wasteful number, since it uses less digits than its factorization.

10202210443120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881482 (or 1881476 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10202210443120 its reverse (2134401220201), we get a palindrome (12336611663321).

The spelling of 10202210443120 in words is "ten trillion, two hundred two billion, two hundred ten million, four hundred forty-three thousand, one hundred twenty".