201210200111120 has 80 divisors (see below), whose sum is σ = 472890837625200. Its totient is φ = 79612098816000.

The previous prime is 201210200111069. The next prime is 201210200111149. The reversal of 201210200111120 is 21111002012102.

201210200111120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 19761972357136 + 181448227753984 = 4445444^2 + 13470272^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 201210200111095 and 201210200111104.

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, 3162395 + ... + 20308154.

It is an arithmetic number, because the mean of its divisors is an integer number (5911135470315).

Almost surely, 2^{201210200111120} is an apocalyptic number.

201210200111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201210200111120 is an abundant number, since it is smaller than the sum of its proper divisors (271680637514080).

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

201210200111120 is a wasteful number, since it uses less digits than its factorization.

201210200111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23471724 (or 23471718 counting only the distinct ones).

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

Adding to 201210200111120 its reverse (21111002012102), we get a palindrome (222321202123222).

The spelling of 201210200111120 in words is "two hundred one trillion, two hundred ten billion, two hundred million, one hundred eleven thousand, one hundred twenty".