200101102100200 has 384 divisors, whose sum is σ = 571452753254400. Its totient is φ = 63665481876480.

The previous prime is 200101102100173. The next prime is 200101102100261. The reversal of 200101102100200 is 2001201101002.

It is a super-3 number, since 3×200101102100200³ (a number of 44 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 413173791 + ... + 413657809.

It is an arithmetic number, because the mean of its divisors is an integer number (1488158211600).

Almost surely, 2^{200101102100200} is an apocalyptic number.

200101102100200 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 200101102100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285726376627200).

200101102100200 is an abundant number, since it is smaller than the sum of its proper divisors (371351651154200).

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

200101102100200 is a wasteful number, since it uses less digits than its factorization.

200101102100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484449 (or 484440 counting only the distinct ones).

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

Adding to 200101102100200 its reverse (2001201101002), we get a palindrome (202102303201202).

The spelling of 200101102100200 in words is "two hundred trillion, one hundred one billion, one hundred two million, one hundred thousand, two hundred".