101123232000 has 576 divisors, whose sum is σ = 397176998400. Its totient is φ = 22312550400.

The previous prime is 101123231981. The next prime is 101123232017. The reversal of 101123232000 is 232321101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19485406 + ... + 19490594.

It is an arithmetic number, because the mean of its divisors is an integer number (689543400).

Almost surely, 2^101123232000 is an apocalyptic number.

101123232000 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 101123232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198588499200).

101123232000 is an abundant number, since it is smaller than the sum of its proper divisors (296053766400).

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

101123232000 is an equidigital number, since it uses as much as digits as its factorization.

101123232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5259 (or 5235 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 101123232000 its reverse (232321101), we get a palindrome (101355553101).

The spelling of 101123232000 in words is "one hundred one billion, one hundred twenty-three million, two hundred thirty-two thousand".