200002102101120 has 1024 divisors, whose sum is σ = 746257839782400. Its totient is φ = 45399694376960.

The previous prime is 200002102101097. The next prime is 200002102101199. The reversal of 200002102101120 is 21101201200002.

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 = 200002102101096 and 200002102101105.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8558424796 + ... + 8558448164.

Almost surely, 2^{200002102101120} is an apocalyptic number.

200002102101120 is a gapful number since it is divisible by the number (20) 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 200002102101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373128919891200).

200002102101120 is an abundant number, since it is smaller than the sum of its proper divisors (546255737681280).

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

200002102101120 is a wasteful number, since it uses less digits than its factorization.

200002102101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23638 (or 23604 counting only the distinct ones).

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

Adding to 200002102101120 its reverse (21101201200002), we get a palindrome (221103303301122).

The spelling of 200002102101120 in words is "two hundred trillion, two billion, one hundred two million, one hundred one thousand, one hundred twenty".