10101032232000 has 224 divisors, whose sum is σ = 33373868736000. Its totient is φ = 2691972403200.

The previous prime is 10101032231981. The next prime is 10101032232023. The reversal of 10101032232000 is 23223010101.

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

It is an unprimeable number.

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, 39641001 + ... + 39894999.

Almost surely, 2^{10101032232000} is an apocalyptic number.

10101032232000 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 10101032232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16686934368000).

10101032232000 is an abundant number, since it is smaller than the sum of its proper divisors (23272836504000).

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

10101032232000 is a wasteful number, since it uses less digits than its factorization.

10101032232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255686 (or 255666 counting only the distinct ones).

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

Adding to 10101032232000 its reverse (23223010101), we get a palindrome (10124255242101).

The spelling of 10101032232000 in words is "ten trillion, one hundred one billion, thirty-two million, two hundred thirty-two thousand".