101003232330000 has 4800 divisors, whose sum is σ = 492717244411392. Its totient is φ = 18632540160000.

The previous prime is 101003232329969. The next prime is 101003232330031. The reversal of 101003232330000 is 33232300101.

101003232330000 is a `hidden beast` number, since 1 + 0 + 10 + 0 + 32 + 323 + 300 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (101003232329969) and next prime (101003232330031).

It is a super-2 number, since 2×101003232330000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 523332809904 + ... + 523332810096.

Almost surely, 2^{101003232330000} is an apocalyptic number.

101003232330000 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 101003232330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246358622205696).

101003232330000 is an abundant number, since it is smaller than the sum of its proper divisors (391714012081392).

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

101003232330000 is a wasteful number, since it uses less digits than its factorization.

101003232330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 101003232330000 its reverse (33232300101), we get a palindrome (101036464630101).

The spelling of 101003232330000 in words is "one hundred one trillion, three billion, two hundred thirty-two million, three hundred thirty thousand".