10202210021120 has 288 divisors, whose sum is σ = 26727849701952. Its totient is φ = 3708278931456.

The previous prime is 10202210021057. The next prime is 10202210021167. The reversal of 10202210021120 is 2112001220201.

It is a junction number, because it is equal to n+sod(n) for n = 10202210021095 and 10202210021104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3024667754 + ... + 3024671126.

Almost surely, 2^{10202210021120} is an apocalyptic number.

10202210021120 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 10202210021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13363924850976).

10202210021120 is an abundant number, since it is smaller than the sum of its proper divisors (16525639680832).

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

10202210021120 is a wasteful number, since it uses less digits than its factorization.

10202210021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6187 (or 6173 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10202210021120 its reverse (2112001220201), we get a palindrome (12314211241321).

The spelling of 10202210021120 in words is "ten trillion, two hundred two billion, two hundred ten million, twenty-one thousand, one hundred twenty".