101233312032 has 192 divisors, whose sum is σ = 277803509760. Its totient is φ = 32253686784.

The previous prime is 101233312013. The next prime is 101233312039. The reversal of 101233312032 is 230213332101.

It is not an unprimeable number, because it can be changed into a prime (101233312039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43390738 + ... + 43393070.

It is an arithmetic number, because the mean of its divisors is an integer number (1446893280).

Almost surely, 2^101233312032 is an apocalyptic number.

101233312032 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 101233312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138901754880).

101233312032 is an abundant number, since it is smaller than the sum of its proper divisors (176570197728).

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

101233312032 is a wasteful number, since it uses less digits than its factorization.

101233312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 101233312032 its reverse (230213332101), we get a palindrome (331446644133).

The spelling of 101233312032 in words is "one hundred one billion, two hundred thirty-three million, three hundred twelve thousand, thirty-two".