10102022021120 has 224 divisors, whose sum is σ = 24434586558720. Its totient is φ = 4009069117440.

The previous prime is 10102022021107. The next prime is 10102022021129. The reversal of 10102022021120 is 2112022020101.

It is a junction number, because it is equal to n+sod(n) for n = 10102022021095 and 10102022021104.

It is not an unprimeable number, because it can be changed into a prime (10102022021129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2917128509 + ... + 2917131971.

Almost surely, 2^{10102022021120} is an apocalyptic number.

10102022021120 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 10102022021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12217293279360).

10102022021120 is an abundant number, since it is smaller than the sum of its proper divisors (14332564537600).

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

10102022021120 is an equidigital number, since it uses as much as digits as its factorization.

10102022021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4034 (or 4010 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10102022021120 its reverse (2112022020101), we get a palindrome (12214044041221).

The spelling of 10102022021120 in words is "ten trillion, one hundred two billion, twenty-two million, twenty-one thousand, one hundred twenty".