10110020202112 has 128 divisors (see below), whose sum is σ = 21259910592000. Its totient is φ = 4779321237504.

The previous prime is 10110020202103. The next prime is 10110020202119. The reversal of 10110020202112 is 21120202001101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10110020202112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10110020202092 and 10110020202101.

It is not an unprimeable number, because it can be changed into a prime (10110020202119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1303001689 + ... + 1303009447.

It is an arithmetic number, because the mean of its divisors is an integer number (166093051500).

Almost surely, 2^{10110020202112} 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 10110020202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10629955296000).

10110020202112 is an abundant number, since it is smaller than the sum of its proper divisors (11149890389888).

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

10110020202112 is an equidigital number, since it uses as much as digits as its factorization.

10110020202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12858 (or 12846 counting only the distinct ones).

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

Adding to 10110020202112 its reverse (21120202001101), we get a palindrome (31230222203213).

The spelling of 10110020202112 in words is "ten trillion, one hundred ten billion, twenty million, two hundred two thousand, one hundred twelve".