200101212010000 has 400 divisors, whose sum is σ = 587439108812160. Its totient is φ = 64438778880000.

The previous prime is 200101212009971. The next prime is 200101212010043. The reversal of 200101212010000 is 10212101002.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 584118766 + ... + 584461234.

Almost surely, 2^{200101212010000} is an apocalyptic number.

200101212010000 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 200101212010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293719554406080).

200101212010000 is an abundant number, since it is smaller than the sum of its proper divisors (387337896802160).

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

200101212010000 is a wasteful number, since it uses less digits than its factorization.

200101212010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343012 (or 342991 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 200101212010000 its reverse (10212101002), we get a palindrome (200111424111002).

The spelling of 200101212010000 in words is "two hundred trillion, one hundred one billion, two hundred twelve million, ten thousand".