101232000 has 384 divisors, whose sum is σ = 393026400. Its totient is φ = 24883200.

The previous prime is 101231983. The next prime is 101232017. The reversal of 101232000 is 232101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101231983) and next prime (101232017).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2735982 + ... + 2736018.

Almost surely, 2^101232000 is an apocalyptic number.

101232000 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 101232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196513200).

101232000 is an abundant number, since it is smaller than the sum of its proper divisors (291794400).

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

101232000 is a wasteful number, since it uses less digits than its factorization.

101232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 101232000 is about 10061.4114318022. The cubic root of 101232000 is about 466.0572544117.

Adding to 101232000 its reverse (232101), we get a palindrome (101464101).

The spelling of 101232000 in words is "one hundred one million, two hundred thirty-two thousand".