200101120128 has 192 divisors, whose sum is σ = 708691838400. Its totient is φ = 52773894144.

The previous prime is 200101120073. The next prime is 200101120139. The reversal of 200101120128 is 821021101002.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 200101120128.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 849558 + ... + 1059221.

It is an arithmetic number, because the mean of its divisors is an integer number (3691103325).

Almost surely, 2^200101120128 is an apocalyptic number.

200101120128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

200101120128 is an abundant number, since it is smaller than the sum of its proper divisors (508590718272).

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

200101120128 is a wasteful number, since it uses less digits than its factorization.

200101120128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908819 (or 1908804 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The spelling of 200101120128 in words is "two hundred billion, one hundred one million, one hundred twenty thousand, one hundred twenty-eight".