101320311112002 has 96 divisors (see below), whose sum is σ = 236476619121600. Its totient is φ = 31235284260864.

The previous prime is 101320311111937. The next prime is 101320311112003. The reversal of 101320311112002 is 200211113023101.

101320311112002 is a `hidden beast` number, since 1 + 0 + 1 + 320 + 31 + 111 + 200 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (101320311112003) 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 47 ways as a sum of consecutive naturals, for example, 43253658 + ... + 45535914.

It is an arithmetic number, because the mean of its divisors is an integer number (2463298115850).

Almost surely, 2^{101320311112002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101320311112002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118238309560800).

101320311112002 is an abundant number, since it is smaller than the sum of its proper divisors (135156308009598).

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

101320311112002 is a wasteful number, since it uses less digits than its factorization.

101320311112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284800 (or 2284797 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101320311112002 its reverse (200211113023101), we get a palindrome (301531424135103).

The spelling of 101320311112002 in words is "one hundred one trillion, three hundred twenty billion, three hundred eleven million, one hundred twelve thousand, two".