200101010022112 has 96 divisors (see below), whose sum is σ = 407039946526080. Its totient is φ = 96784872814080.

The previous prime is 200101010022101. The next prime is 200101010022127. The reversal of 200101010022112 is 211220010101002.

It is a junction number, because it is equal to n+sod(n) for n = 200101010022092 and 200101010022101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79719423 + ... + 82191169.

It is an arithmetic number, because the mean of its divisors is an integer number (4239999442980).

Almost surely, 2^{200101010022112} 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 200101010022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203519973263040).

200101010022112 is an abundant number, since it is smaller than the sum of its proper divisors (206938936503968).

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

200101010022112 is a wasteful number, since it uses less digits than its factorization.

200101010022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472504 (or 2472496 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 200101010022112 its reverse (211220010101002), we get a palindrome (411321020123114).

It can be divided in two parts, 20010101002 and 2112, that multiplied together give a palindrome (42261333316224).

The spelling of 200101010022112 in words is "two hundred trillion, one hundred one billion, ten million, twenty-two thousand, one hundred twelve".