200120220010100 has 144 divisors (see below), whose sum is σ = 476763839328000. Its totient is φ = 72465581560320.

The previous prime is 200120220010069. The next prime is 200120220010127. The reversal of 200120220010100 is 1010022021002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8763407 + ... + 21841193.

Almost surely, 2^{200120220010100} is an apocalyptic number.

200120220010100 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 200120220010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238381919664000).

200120220010100 is an abundant number, since it is smaller than the sum of its proper divisors (276643619317900).

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

200120220010100 is a wasteful number, since it uses less digits than its factorization.

200120220010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13078042 (or 13078035 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 200120220010100 its reverse (1010022021002), we get a palindrome (201130242031102).

The spelling of 200120220010100 in words is "two hundred trillion, one hundred twenty billion, two hundred twenty million, ten thousand, one hundred".