10302122201120 has 48 divisors (see below), whose sum is σ = 24341935301208. Its totient is φ = 4120311889920.

The previous prime is 10302122201101. The next prime is 10302122201131. The reversal of 10302122201120 is 2110222120301.

It can be written as a sum of positive squares in 4 ways, for example, as 8150819441296 + 2151302759824 = 2854964^2 + 1466732^2 .

It is a super-3 number, since 3×10302122201120³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2962439 + ... + 5420358.

Almost surely, 2^{10302122201120} is an apocalyptic number.

10302122201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10302122201120 is an abundant number, since it is smaller than the sum of its proper divisors (14039813100088).

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

10302122201120 is an equidigital number, since it uses as much as digits as its factorization.

10302122201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8390493 (or 8390485 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10302122201120 its reverse (2110222120301), we get a palindrome (12412344321421).

The spelling of 10302122201120 in words is "ten trillion, three hundred two billion, one hundred twenty-two million, two hundred one thousand, one hundred twenty".