10221010112120 has 32 divisors (see below), whose sum is σ = 22997476076400. Its totient is φ = 4088367898368.

The previous prime is 10221010112107. The next prime is 10221010112191. The reversal of 10221010112120 is 2121101012201.

It is a super-3 number, since 3×10221010112120³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10221010112095 and 10221010112104.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3706892 + ... + 5846628.

Almost surely, 2^{10221010112120} is an apocalyptic number.

10221010112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221010112120 is an abundant number, since it is smaller than the sum of its proper divisors (12776465964280).

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

10221010112120 is a wasteful number, since it uses less digits than its factorization.

10221010112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259167 (or 2259163 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10221010112120 its reverse (2121101012201), we get a palindrome (12342111124321).

The spelling of 10221010112120 in words is "ten trillion, two hundred twenty-one billion, ten million, one hundred twelve thousand, one hundred twenty".