10202122120 has 16 divisors (see below), whose sum is σ = 22954774860. Its totient is φ = 4080848832.

The previous prime is 10202122111. The next prime is 10202122129. The reversal of 10202122120 is 2122120201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10202122111) and next prime (10202122129).

It can be written as a sum of positive squares in 2 ways, for example, as 9538647556 + 663474564 = 97666^2 + 25758^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10202122120.

It is not an unprimeable number, because it can be changed into a prime (10202122129) 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, 127526487 + ... + 127526566.

Almost surely, 2^10202122120 is an apocalyptic number.

10202122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202122120 is an abundant number, since it is smaller than the sum of its proper divisors (12752652740).

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

10202122120 is a wasteful number, since it uses less digits than its factorization.

10202122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255053064 (or 255053060 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10202122120 its reverse (2122120201), we get a palindrome (12324242321).

The spelling of 10202122120 in words is "ten billion, two hundred two million, one hundred twenty-two thousand, one hundred twenty".