202011202010112 has 704 divisors, whose sum is σ = 624953059061760. Its totient is φ = 57372121497600.

The previous prime is 202011202010077. The next prime is 202011202010141. The reversal of 202011202010112 is 211010202110202.

It is a tau number, because it is divible by the number of its divisors (704).

It is a junction number, because it is equal to n+sod(n) for n = 202011202010091 and 202011202010100.

It is a congruent number.

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, 28344489493 + ... + 28344496619.

It is an arithmetic number, because the mean of its divisors is an integer number (887717413440).

Almost surely, 2^{202011202010112} is an apocalyptic number.

202011202010112 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 202011202010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312476529530880).

202011202010112 is an abundant number, since it is smaller than the sum of its proper divisors (422941857051648).

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

202011202010112 is a wasteful number, since it uses less digits than its factorization.

202011202010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7648 (or 7630 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 202011202010112 its reverse (211010202110202), we get a palindrome (413021404120314).

The spelling of 202011202010112 in words is "two hundred two trillion, eleven billion, two hundred two million, ten thousand, one hundred twelve".