10002022120 has 32 divisors (see below), whose sum is σ = 22525816320. Its totient is φ = 3997028160.

The previous prime is 10002022117. The next prime is 10002022127. The reversal of 10002022120 is 2122020001.

10002022120 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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 10002022097 and 10002022106.

It is not an unprimeable number, because it can be changed into a prime (10002022127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75096 + ... + 160135.

It is an arithmetic number, because the mean of its divisors is an integer number (703931760).

Almost surely, 2^10002022120 is an apocalyptic number.

10002022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002022120 is an abundant number, since it is smaller than the sum of its proper divisors (12523794200).

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

10002022120 is a wasteful number, since it uses less digits than its factorization.

10002022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236305 (or 236301 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10002022120 its reverse (2122020001), we get a palindrome (12124042121).

The spelling of 10002022120 in words is "ten billion, two million, twenty-two thousand, one hundred twenty".