201001022110112 has 96 divisors (see below), whose sum is σ = 455078630764800. Its totient is φ = 85606001141760.

The previous prime is 201001022110081. The next prime is 201001022110127. The reversal of 201001022110112 is 211011220100102.

201001022110112 is digitally balanced in base 2, because in such base 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 (14).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33850748 + ... + 39343044.

It is an arithmetic number, because the mean of its divisors is an integer number (4740402403800).

Almost surely, 2^{201001022110112} 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 201001022110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227539315382400).

201001022110112 is an abundant number, since it is smaller than the sum of its proper divisors (254077608654688).

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

201001022110112 is a wasteful number, since it uses less digits than its factorization.

201001022110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5493334 (or 5493326 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201001022110112 its reverse (211011220100102), we get a palindrome (412012242210214).

It can be divided in two parts, 20100102 and 2110112, that multiplied together give a palindrome (42413466431424).

The spelling of 201001022110112 in words is "two hundred one trillion, one billion, twenty-two million, one hundred ten thousand, one hundred twelve".