10120022120 has 192 divisors, whose sum is σ = 25825428720. Its totient is φ = 3547127808.

The previous prime is 10120022111. The next prime is 10120022131. The reversal of 10120022120 is 2122002101.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 2168019844 + 7952002276 = 46562^2 + 89174^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31924202 + ... + 31924518.

Almost surely, 2^10120022120 is an apocalyptic number.

10120022120 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 10120022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12912714360).

10120022120 is an abundant number, since it is smaller than the sum of its proper divisors (15705406600).

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

10120022120 is a wasteful number, since it uses less digits than its factorization.

10120022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10120022120 its reverse (2122002101), we get a palindrome (12242024221).

The spelling of 10120022120 in words is "ten billion, one hundred twenty million, twenty-two thousand, one hundred twenty".