200120020100000 has 1152 divisors, whose sum is σ = 677333970851328. Its totient is φ = 56171520000000.

The previous prime is 200120020099981. The next prime is 200120020100053. The reversal of 200120020100000 is 1020021002.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4104075620 + ... + 4104124380.

It is an arithmetic number, because the mean of its divisors is an integer number (587963516364).

Almost surely, 2^{200120020100000} is an apocalyptic number.

200120020100000 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 200120020100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338666985425664).

200120020100000 is an abundant number, since it is smaller than the sum of its proper divisors (477213950751328).

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

200120020100000 is a wasteful number, since it uses less digits than its factorization.

200120020100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48868 (or 48840 counting only the distinct ones).

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

Adding to 200120020100000 its reverse (1020021002), we get a palindrome (200121040121002).

The spelling of 200120020100000 in words is "two hundred trillion, one hundred twenty billion, twenty million, one hundred thousand".