2010110202112 has 72 divisors (see below), whose sum is σ = 4188139320960. Its totient is φ = 961053941760.

The previous prime is 2010110202077. The next prime is 2010110202119. The reversal of 2010110202112 is 2112020110102.

It is a junction number, because it is equal to n+sod(n) for n = 2010110202092 and 2010110202101.

It is not an unprimeable number, because it can be changed into a prime (2010110202119) 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, 19207464 + ... + 19311832.

It is an arithmetic number, because the mean of its divisors is an integer number (58168601680).

Almost surely, 2^{2010110202112} 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 2010110202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094069660480).

2010110202112 is an abundant number, since it is smaller than the sum of its proper divisors (2178029118848).

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

2010110202112 is a wasteful number, since it uses less digits than its factorization.

2010110202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107679 (or 107665 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2010110202112 its reverse (2112020110102), we get a palindrome (4122130312214).

The spelling of 2010110202112 in words is "two trillion, ten billion, one hundred ten million, two hundred two thousand, one hundred twelve".