10212201122120 has 256 divisors, whose sum is σ = 25342886016000. Its totient is φ = 3690869518336.

The previous prime is 10212201122113. The next prime is 10212201122131. The reversal of 10212201122120 is 2122110221201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 507630302 + ... + 507650418.

It is an arithmetic number, because the mean of its divisors is an integer number (98995648500).

Almost surely, 2^{10212201122120} is an apocalyptic number.

10212201122120 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 10212201122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12671443008000).

10212201122120 is an abundant number, since it is smaller than the sum of its proper divisors (15130684893880).

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

10212201122120 is a wasteful number, since it uses less digits than its factorization.

10212201122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20592 (or 20588 counting only the distinct ones).

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

Adding to 10212201122120 its reverse (2122110221201), we get a palindrome (12334311343321).

The spelling of 10212201122120 in words is "ten trillion, two hundred twelve billion, two hundred one million, one hundred twenty-two thousand, one hundred twenty".