10210202122120 has 576 divisors, whose sum is σ = 31947628834800. Its totient is φ = 2908426752000.

The previous prime is 10210202122111. The next prime is 10210202122171. The reversal of 10210202122120 is 2122120201201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5335388543716 + 4874813578404 = 2309846^2 + 2207898^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10210202122094 and 10210202122103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 311374686 + ... + 311407474.

Almost surely, 2^{10210202122120} is an apocalyptic number.

10210202122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10210202122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15973814417400).

10210202122120 is an abundant number, since it is smaller than the sum of its proper divisors (21737426712680).

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

10210202122120 is a wasteful number, since it uses less digits than its factorization.

10210202122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32950 (or 32928 counting only the distinct ones).

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

Adding to 10210202122120 its reverse (2122120201201), we get a palindrome (12332322323321).

The spelling of 10210202122120 in words is "ten trillion, two hundred ten billion, two hundred two million, one hundred twenty-two thousand, one hundred twenty".