10202320310112 has 576 divisors, whose sum is σ = 35722720051200. Its totient is φ = 2696903838720.

The previous prime is 10202320310071. The next prime is 10202320310113. The reversal of 10202320310112 is 21101302320201.

10202320310112 is a `hidden beast` number, since 1 + 0 + 20 + 2 + 320 + 310 + 1 + 12 = 666.

10202320310112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202320310113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 862332037 + ... + 862343867.

It is an arithmetic number, because the mean of its divisors is an integer number (62018611200).

Almost surely, 2^{10202320310112} is an apocalyptic number.

10202320310112 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 10202320310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17861360025600).

10202320310112 is an abundant number, since it is smaller than the sum of its proper divisors (25520399741088).

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

10202320310112 is a wasteful number, since it uses less digits than its factorization.

10202320310112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12399 (or 12388 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10202320310112 its reverse (21101302320201), we get a palindrome (31303622630313).

The spelling of 10202320310112 in words is "ten trillion, two hundred two billion, three hundred twenty million, three hundred ten thousand, one hundred twelve".