101322311100320 has 24 divisors (see below), whose sum is σ = 239373959974884. Its totient is φ = 40528924440064.

The previous prime is 101322311100301. The next prime is 101322311100323. The reversal of 101322311100320 is 23001113223101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 101206577781904 + 115733318416 = 10060148^2 + 340196^2 .

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 = 101322311100292 and 101322311100301.

It is not an unprimeable number, because it can be changed into a prime (101322311100323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 316632222029 + ... + 316632222348.

Almost surely, 2^{101322311100320} is an apocalyptic number.

101322311100320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101322311100320 is an abundant number, since it is smaller than the sum of its proper divisors (138051648874564).

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

101322311100320 is an equidigital number, since it uses as much as digits as its factorization.

101322311100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633264444392 (or 633264444384 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 101322311100320 its reverse (23001113223101), we get a palindrome (124323424323421).

The spelling of 101322311100320 in words is "one hundred one trillion, three hundred twenty-two billion, three hundred eleven million, one hundred thousand, three hundred twenty".