10312322220100 has 36 divisors (see below), whose sum is σ = 22491331845444. Its totient is φ = 4103990154880.

The previous prime is 10312322220071. The next prime is 10312322220103. The reversal of 10312322220100 is 102222321301.

It can be written as a sum of positive squares in 6 ways, for example, as 489977600256 + 9822344619844 = 699984^2 + 3134062^2 .

It is not an unprimeable number, because it can be changed into a prime (10312322220103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261714367 + ... + 261753766.

It is an arithmetic number, because the mean of its divisors is an integer number (624759217929).

Almost surely, 2^{10312322220100} is an apocalyptic number.

10312322220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10312322220100 is an abundant number, since it is smaller than the sum of its proper divisors (12179009625344).

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

10312322220100 is a wasteful number, since it uses less digits than its factorization.

10312322220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523468344 (or 523468337 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10312322220100 its reverse (102222321301), we get a palindrome (10414544541401).

The spelling of 10312322220100 in words is "ten trillion, three hundred twelve billion, three hundred twenty-two million, two hundred twenty thousand, one hundred".