201210112111020 has 192 divisors, whose sum is σ = 593547470530560. Its totient is φ = 50788577664000.

The previous prime is 201210112110971. The next prime is 201210112111051. The reversal of 201210112111020 is 20111211012102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7535663670 + ... + 7535690370.

It is an arithmetic number, because the mean of its divisors is an integer number (3091393075680).

Almost surely, 2^{201210112111020} is an apocalyptic number.

201210112111020 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 201210112111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296773735265280).

201210112111020 is an abundant number, since it is smaller than the sum of its proper divisors (392337358419540).

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

201210112111020 is a wasteful number, since it uses less digits than its factorization.

201210112111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32136 (or 32134 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 201210112111020 its reverse (20111211012102), we get a palindrome (221321323123122).

The spelling of 201210112111020 in words is "two hundred one trillion, two hundred ten billion, one hundred twelve million, one hundred eleven thousand, twenty".