10202213011320 has 256 divisors, whose sum is σ = 37101576960000. Its totient is φ = 2473089062400.

The previous prime is 10202213011283. The next prime is 10202213011327. The reversal of 10202213011320 is 2311031220201.

10202213011320 is a `hidden beast` number, since 1 + 0 + 20 + 2 + 21 + 301 + 1 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10202213011293 and 10202213011302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202213011327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 267411606 + ... + 267449754.

It is an arithmetic number, because the mean of its divisors is an integer number (144928035000).

Almost surely, 2^{10202213011320} is an apocalyptic number.

10202213011320 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 10202213011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18550788480000).

10202213011320 is an abundant number, since it is smaller than the sum of its proper divisors (26899363948680).

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

10202213011320 is a wasteful number, since it uses less digits than its factorization.

10202213011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60691 (or 60681 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10202213011320 its reverse (2311031220201), we get a palindrome (12513244231521).

The spelling of 10202213011320 in words is "ten trillion, two hundred two billion, two hundred thirteen million, eleven thousand, three hundred twenty".