201002012310112 has 192 divisors, whose sum is σ = 443411345664000. Its totient is φ = 89102552168448.

The previous prime is 201002012310089. The next prime is 201002012310221. The reversal of 201002012310112 is 211013210200102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310575589 + ... + 311222107.

It is an arithmetic number, because the mean of its divisors is an integer number (2309434092000).

Almost surely, 2^{201002012310112} 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 201002012310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221705672832000).

201002012310112 is an abundant number, since it is smaller than the sum of its proper divisors (242409333353888).

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

201002012310112 is a wasteful number, since it uses less digits than its factorization.

201002012310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646893 (or 646885 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 201002012310112 its reverse (211013210200102), we get a palindrome (412015222510214).

The spelling of 201002012310112 in words is "two hundred one trillion, two billion, twelve million, three hundred ten thousand, one hundred twelve".