202101011112 has 256 divisors, whose sum is σ = 682185369600. Its totient is φ = 48184058880.

The previous prime is 202101011089. The next prime is 202101011171. The reversal of 202101011112 is 211110101202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4276798 + ... + 4323794.

It is an arithmetic number, because the mean of its divisors is an integer number (2664786600).

Almost surely, 2^202101011112 is an apocalyptic number.

202101011112 is a gapful number since it is divisible by the number (22) 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 202101011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341092684800).

202101011112 is an abundant number, since it is smaller than the sum of its proper divisors (480084358488).

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

202101011112 is a wasteful number, since it uses less digits than its factorization.

202101011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47216 (or 47212 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 202101011112 its reverse (211110101202), we get a palindrome (413211112314).

The spelling of 202101011112 in words is "two hundred two billion, one hundred one million, eleven thousand, one hundred twelve".