10002202002120 has 128 divisors (see below), whose sum is σ = 30170614608000. Its totient is φ = 2652683157504.

The previous prime is 10002202002011. The next prime is 10002202002157. The reversal of 10002202002120 is 2120020220001.

It is a super-3 number, since 3×10002202002120³ (a number of 40 digits) contains 333 as substring.

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 = 10002202002096 and 10002202002105.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 84312606 + ... + 84431154.

It is an arithmetic number, because the mean of its divisors is an integer number (235707926625).

Almost surely, 2^{10002202002120} is an apocalyptic number.

10002202002120 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 10002202002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15085307304000).

10002202002120 is an abundant number, since it is smaller than the sum of its proper divisors (20168412605880).

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

10002202002120 is a wasteful number, since it uses less digits than its factorization.

10002202002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122399 (or 122395 counting only the distinct ones).

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

Adding to 10002202002120 its reverse (2120020220001), we get a palindrome (12122222222121).

The spelling of 10002202002120 in words is "ten trillion, two billion, two hundred two million, two thousand, one hundred twenty".