10020022002120 has 64 divisors (see below), whose sum is σ = 32372378781120. Its totient is φ = 2466466953984.

The previous prime is 10020022002119. The next prime is 10020022002127. The reversal of 10020022002120 is 2120022002001.

10020022002120 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 = 10020022002096 and 10020022002105.

It is not an unprimeable number, because it can be changed into a prime (10020022002127) 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, 3211543954 + ... + 3211547073.

It is an arithmetic number, because the mean of its divisors is an integer number (505818418455).

Almost surely, 2^{10020022002120} is an apocalyptic number.

10020022002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020022002120 is an abundant number, since it is smaller than the sum of its proper divisors (22352356779000).

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

10020022002120 is a wasteful number, since it uses less digits than its factorization.

10020022002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6423091054 (or 6423091050 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10020022002120 its reverse (2120022002001), we get a palindrome (12140044004121).

The spelling of 10020022002120 in words is "ten trillion, twenty billion, twenty-two million, two thousand, one hundred twenty".