10001120220340 has 24 divisors (see below), whose sum is σ = 21002517151560. Its totient is φ = 4000416718848.

The previous prime is 10001120220337. The next prime is 10001120220349. The reversal of 10001120220340 is 4302202110001.

It can be written as a sum of positive squares in 4 ways, for example, as 52256131216 + 9948864089124 = 228596^2 + 3154182^2 .

It is a super-2 number, since 2×10001120220340² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001120220349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 744784 + ... + 4533976.

It is an arithmetic number, because the mean of its divisors is an integer number (875104881315).

Almost surely, 2^{10001120220340} is an apocalyptic number.

10001120220340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001120220340 is an abundant number, since it is smaller than the sum of its proper divisors (11001396931220).

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

10001120220340 is a wasteful number, since it uses less digits than its factorization.

10001120220340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3921171 (or 3921169 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10001120220340 its reverse (4302202110001), we get a palindrome (14303322330341).

The spelling of 10001120220340 in words is "ten trillion, one billion, one hundred twenty million, two hundred twenty thousand, three hundred forty".