10200002233120 has 384 divisors, whose sum is σ = 30049991193600. Its totient is φ = 3258810777600.

The previous prime is 10200002233097. The next prime is 10200002233189. The reversal of 10200002233120 is 2133220000201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10200002233094 and 10200002233103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94174837 + ... + 94283083.

It is an arithmetic number, because the mean of its divisors is an integer number (78255185400).

Almost surely, 2^{10200002233120} is an apocalyptic number.

10200002233120 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 10200002233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15024995596800).

10200002233120 is an abundant number, since it is smaller than the sum of its proper divisors (19849988960480).

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

10200002233120 is a wasteful number, since it uses less digits than its factorization.

10200002233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108401 (or 108379 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10200002233120 its reverse (2133220000201), we get a palindrome (12333222233321).

The spelling of 10200002233120 in words is "ten trillion, two hundred billion, two million, two hundred thirty-three thousand, one hundred twenty".