120001002100200 has 1152 divisors, whose sum is σ = 459379141603200. Its totient is φ = 27906674688000.

The previous prime is 120001002100159. The next prime is 120001002100223. The reversal of 120001002100200 is 2001200100021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 74953779400 + ... + 74953781000.

It is an arithmetic number, because the mean of its divisors is an integer number (398766615975).

Almost surely, 2^{120001002100200} is an apocalyptic number.

120001002100200 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 120001002100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229689570801600).

120001002100200 is an abundant number, since it is smaller than the sum of its proper divisors (339378139503000).

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

120001002100200 is a wasteful number, since it uses less digits than its factorization.

120001002100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120001002100200 its reverse (2001200100021), we get a palindrome (122002202200221).

The spelling of 120001002100200 in words is "one hundred twenty trillion, one billion, two million, one hundred thousand, two hundred".