200101011002112 has 72 divisors (see below), whose sum is σ = 580975094468160. Its totient is φ = 60636669998080.

The previous prime is 200101011002041. The next prime is 200101011002131. The reversal of 200101011002112 is 211200110101002.

200101011002112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11843091162 + ... + 11843108057.

It is an arithmetic number, because the mean of its divisors is an integer number (8069098534280).

Almost surely, 2^{200101011002112} is an apocalyptic number.

200101011002112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

200101011002112 is an abundant number, since it is smaller than the sum of its proper divisors (380874083466048).

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

200101011002112 is a wasteful number, since it uses less digits than its factorization.

200101011002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23686199249 (or 23686199235 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 200101011002112 its reverse (211200110101002), we get a palindrome (411301121103114).

The spelling of 200101011002112 in words is "two hundred trillion, one hundred one billion, eleven million, two thousand, one hundred twelve".