10022121220120 has 128 divisors (see below), whose sum is σ = 23917173134400. Its totient is φ = 3766569762816.

The previous prime is 10022121220093. The next prime is 10022121220121. The reversal of 10022121220120 is 2102212122001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10022121220094 and 10022121220103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022121220121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1123173979 + ... + 1123182901.

Almost surely, 2^{10022121220120} is an apocalyptic number.

10022121220120 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 10022121220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11958586567200).

10022121220120 is an abundant number, since it is smaller than the sum of its proper divisors (13895051914280).

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

10022121220120 is a wasteful number, since it uses less digits than its factorization.

10022121220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11597 (or 11593 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10022121220120 its reverse (2102212122001), we get a palindrome (12124333342121).

The spelling of 10022121220120 in words is "ten trillion, twenty-two billion, one hundred twenty-one million, two hundred twenty thousand, one hundred twenty".