10201122122120 has 16 divisors (see below), whose sum is σ = 22952524774860. Its totient is φ = 4080448848832.

The previous prime is 10201122122053. The next prime is 10201122122123. The reversal of 10201122122120 is 2122122110201.

It can be written as a sum of positive squares in 2 ways, for example, as 9794483788996 + 406638333124 = 3129614^2 + 637682^2 .

It is not an unprimeable number, because it can be changed into a prime (10201122122123) 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, 127514026487 + ... + 127514026566.

Almost surely, 2^{10201122122120} is an apocalyptic number.

10201122122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201122122120 is an abundant number, since it is smaller than the sum of its proper divisors (12751402652740).

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

10201122122120 is a wasteful number, since it uses less digits than its factorization.

10201122122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255028053064 (or 255028053060 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10201122122120 its reverse (2122122110201), we get a palindrome (12323244232321).

The spelling of 10201122122120 in words is "ten trillion, two hundred one billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty".