101112233023320 has 256 divisors, whose sum is σ = 307187997696000. Its totient is φ = 26621835964416.

The previous prime is 101112233023267. The next prime is 101112233023327. The reversal of 101112233023320 is 23320332211101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112233023327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38198802237 + ... + 38198804883.

It is an arithmetic number, because the mean of its divisors is an integer number (1199953116000).

Almost surely, 2^{101112233023320} is an apocalyptic number.

101112233023320 is a gapful number since it is divisible by the number (10) 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 101112233023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153593998848000).

101112233023320 is an abundant number, since it is smaller than the sum of its proper divisors (206075764672680).

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

101112233023320 is a wasteful number, since it uses less digits than its factorization.

101112233023320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6562 (or 6558 counting only the distinct ones).

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

Adding to 101112233023320 its reverse (23320332211101), we get a palindrome (124432565234421).

The spelling of 101112233023320 in words is "one hundred one trillion, one hundred twelve billion, two hundred thirty-three million, twenty-three thousand, three hundred twenty".