101201233302312 has 128 divisors (see below), whose sum is σ = 297279650828160. Its totient is φ = 28303726878720.

The previous prime is 101201233302277. The next prime is 101201233302319. The reversal of 101201233302312 is 213203332102101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (101201233302319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20330548 + ... + 24813980.

It is an arithmetic number, because the mean of its divisors is an integer number (2322497272095).

Almost surely, 2^{101201233302312} is an apocalyptic number.

101201233302312 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 101201233302312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148639825414080).

101201233302312 is an abundant number, since it is smaller than the sum of its proper divisors (196078417525848).

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

101201233302312 is a wasteful number, since it uses less digits than its factorization.

101201233302312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4490043 (or 4490039 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 101201233302312 its reverse (213203332102101), we get a palindrome (314404565404413).

The spelling of 101201233302312 in words is "one hundred one trillion, two hundred one billion, two hundred thirty-three million, three hundred two thousand, three hundred twelve".