20100202112 has 64 divisors (see below), whose sum is σ = 41178836160. Its totient is φ = 9767024640.

The previous prime is 20100202099. The next prime is 20100202117. The reversal of 20100202112 is 21120200102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 20100202093 and 20100202102.

It is not an unprimeable number, because it can be changed into a prime (20100202117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1372943 + ... + 1387505.

It is an arithmetic number, because the mean of its divisors is an integer number (643419315).

Almost surely, 2^20100202112 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 20100202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20589418080).

20100202112 is an abundant number, since it is smaller than the sum of its proper divisors (21078634048).

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

20100202112 is a wasteful number, since it uses less digits than its factorization.

20100202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14881 (or 14869 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20100202112 its reverse (21120200102), we get a palindrome (41220402214).

The spelling of 20100202112 in words is "twenty billion, one hundred million, two hundred two thousand, one hundred twelve".