101010202112 has 40 divisors (see below), whose sum is σ = 202255766856. Its totient is φ = 50396833792.

The previous prime is 101010202103. The next prime is 101010202123. The reversal of 101010202112 is 211202010101.

101010202112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101010202093 and 101010202102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27878 + ... + 450330.

Almost surely, 2^101010202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101010202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101127883428).

101010202112 is an abundant number, since it is smaller than the sum of its proper divisors (101245564744).

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

101010202112 is an frugal number, since it uses more digits than its factorization.

101010202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422938 (or 422922 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101010202112 its reverse (211202010101), we get a palindrome (312212212213).

The spelling of 101010202112 in words is "one hundred one billion, ten million, two hundred two thousand, one hundred twelve".