10210222220120 has 128 divisors (see below), whose sum is σ = 25632124056000. Its totient is φ = 3634403727360.

The previous prime is 10210222220117. The next prime is 10210222220141. The reversal of 10210222220120 is 2102222201201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9424010 + ... + 10451430.

Almost surely, 2^{10210222220120} is an apocalyptic number.

10210222220120 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 10210222220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12816062028000).

10210222220120 is an abundant number, since it is smaller than the sum of its proper divisors (15421901835880).

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

10210222220120 is a wasteful number, since it uses less digits than its factorization.

10210222220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028133 (or 1028129 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10210222220120 its reverse (2102222201201), we get a palindrome (12312444421321).

The spelling of 10210222220120 in words is "ten trillion, two hundred ten billion, two hundred twenty-two million, two hundred twenty thousand, one hundred twenty".