10221002122120 has 16 divisors (see below), whose sum is σ = 22997254774860. Its totient is φ = 4088400848832.

The previous prime is 10221002122087. The next prime is 10221002122129. The reversal of 10221002122120 is 2122120012201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9557953460836 + 663048661284 = 3091594^2 + 814278^2 .

It is a super-3 number, since 3×10221002122120³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10221002122094 and 10221002122103.

It is not an unprimeable number, because it can be changed into a prime (10221002122129) 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, 127762526487 + ... + 127762526566.

Almost surely, 2^{10221002122120} is an apocalyptic number.

10221002122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221002122120 is an abundant number, since it is smaller than the sum of its proper divisors (12776252652740).

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

10221002122120 is a wasteful number, since it uses less digits than its factorization.

10221002122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255525053064 (or 255525053060 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10221002122120 its reverse (2122120012201), we get a palindrome (12343122134321).

The spelling of 10221002122120 in words is "ten trillion, two hundred twenty-one billion, two million, one hundred twenty-two thousand, one hundred twenty".