10022120011020 has 384 divisors, whose sum is σ = 31960631808000. Its totient is φ = 2326185050112.

The previous prime is 10022120011019. The next prime is 10022120011027. The reversal of 10022120011020 is 2011002122001.

10022120011020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10022120010987 and 10022120011005.

It is not an unprimeable number, because it can be changed into a prime (10022120011027) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3080883714 + ... + 3080886966.

It is an arithmetic number, because the mean of its divisors is an integer number (83230812000).

Almost surely, 2^{10022120011020} is an apocalyptic number.

10022120011020 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 10022120011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15980315904000).

10022120011020 is an abundant number, since it is smaller than the sum of its proper divisors (21938511796980).

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

10022120011020 is a wasteful number, since it uses less digits than its factorization.

10022120011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4209 (or 4207 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10022120011020 its reverse (2011002122001), we get a palindrome (12033122133021).

The spelling of 10022120011020 in words is "ten trillion, twenty-two billion, one hundred twenty million, eleven thousand, twenty".