10202002220112 has 160 divisors (see below), whose sum is σ = 27067139877888. Its totient is φ = 3309403388928.

The previous prime is 10202002220093. The next prime is 10202002220213. The reversal of 10202002220112 is 21102220020201.

10202002220112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10202002220112³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10202002220091 and 10202002220100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 679356028 + ... + 679371044.

Almost surely, 2^{10202002220112} is an apocalyptic number.

10202002220112 is a gapful number since it is divisible by the number (12) 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 10202002220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13533569938944).

10202002220112 is an abundant number, since it is smaller than the sum of its proper divisors (16865137657776).

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

10202002220112 is a wasteful number, since it uses less digits than its factorization.

10202002220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16257 (or 16251 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10202002220112 its reverse (21102220020201), we get a palindrome (31304222240313).

The spelling of 10202002220112 in words is "ten trillion, two hundred two billion, two million, two hundred twenty thousand, one hundred twelve".