201002001001110 has 192 divisors, whose sum is σ = 542435781888000. Its totient is φ = 51611371418880.

The previous prime is 201002001001079. The next prime is 201002001001127. The reversal of 201002001001110 is 11100100200102.

It is a happy number.

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 = 201002001001092 and 201002001001101.

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 95 ways as a sum of consecutive naturals, for example, 76116271 + ... + 78712709.

It is an arithmetic number, because the mean of its divisors is an integer number (2825186364000).

Almost surely, 2^{201002001001110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201002001001110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271217890944000).

201002001001110 is an abundant number, since it is smaller than the sum of its proper divisors (341433780886890).

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

201002001001110 is a wasteful number, since it uses less digits than its factorization.

201002001001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596811 (or 2596808 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 201002001001110 its reverse (11100100200102), we get a palindrome (212102101201212).

The spelling of 201002001001110 in words is "two hundred one trillion, two billion, one million, one thousand, one hundred ten".