201000202001120 has 192 divisors, whose sum is σ = 498223568424960. Its totient is φ = 76483382181888.

The previous prime is 201000202001101. The next prime is 201000202001167. The reversal of 201000202001120 is 21100202000102.

It is a happy number.

201000202001120 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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, 2513499377 + ... + 2513579343.

It is an arithmetic number, because the mean of its divisors is an integer number (2594914418880).

Almost surely, 2^{201000202001120} is an apocalyptic number.

201000202001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201000202001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249111784212480).

201000202001120 is an abundant number, since it is smaller than the sum of its proper divisors (297223366423840).

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

201000202001120 is a wasteful number, since it uses less digits than its factorization.

201000202001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83737 (or 83729 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 201000202001120 its reverse (21100202000102), we get a palindrome (222100404001222).

The spelling of 201000202001120 in words is "two hundred one trillion, two hundred two million, one thousand, one hundred twenty".