201000002112 has 672 divisors, whose sum is σ = 755364040704. Its totient is φ = 49589452800.

The previous prime is 201000002051. The next prime is 201000002179. The reversal of 201000002112 is 211200000102.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 201000002094 and 201000002103.

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, 170194162 + ... + 170195342.

It is an arithmetic number, because the mean of its divisors is an integer number (1124053632).

Almost surely, 2^201000002112 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 201000002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377682020352).

201000002112 is an abundant number, since it is smaller than the sum of its proper divisors (554364038592).

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

201000002112 is a wasteful number, since it uses less digits than its factorization.

201000002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201000002112 its reverse (211200000102), we get a palindrome (412200002214).

The spelling of 201000002112 in words is "two hundred one billion, two thousand, one hundred twelve".