10210022322320 has 80 divisors (see below), whose sum is σ = 24163312762992. Its totient is φ = 4011087790080.

The previous prime is 10210022322293. The next prime is 10210022322407. The reversal of 10210022322320 is 2322322001201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3339186094336 + 6870836227984 = 1827344^2 + 2621228^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10210022322292 and 10210022322301.

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, 1729844 + ... + 4838636.

Almost surely, 2^{10210022322320} is an apocalyptic number.

10210022322320 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 10210022322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12081656381496).

10210022322320 is an abundant number, since it is smaller than the sum of its proper divisors (13953290440672).

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

10210022322320 is a wasteful number, since it uses less digits than its factorization.

10210022322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3109540 (or 3109534 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10210022322320 its reverse (2322322001201), we get a palindrome (12532344323521).

The spelling of 10210022322320 in words is "ten trillion, two hundred ten billion, twenty-two million, three hundred twenty-two thousand, three hundred twenty".