200101202112 has 224 divisors, whose sum is σ = 610585113600. Its totient is φ = 56652410880.

The previous prime is 200101202107. The next prime is 200101202129. The reversal of 200101202112 is 211202101002.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×200101202112³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 108337573 + ... + 108339419.

It is an arithmetic number, because the mean of its divisors is an integer number (2725826400).

Almost surely, 2^200101202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200101202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305292556800).

200101202112 is an abundant number, since it is smaller than the sum of its proper divisors (410483911488).

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

200101202112 is a wasteful number, since it uses less digits than its factorization.

200101202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200101202112 its reverse (211202101002), we get a palindrome (411303303114).

The spelling of 200101202112 in words is "two hundred billion, one hundred one million, two hundred two thousand, one hundred twelve".