10101332020032 has 336 divisors, whose sum is σ = 31780762041600. Its totient is φ = 3042149806080.

The previous prime is 10101332019983. The next prime is 10101332020033. The reversal of 10101332020032 is 23002023310101.

10101332020032 is a `hidden beast` number, since 1 + 0 + 101 + 332 + 0 + 200 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10101332019987 and 10101332020014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101332020033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1296867594 + ... + 1296875382.

Almost surely, 2^{10101332020032} is an apocalyptic number.

10101332020032 is a gapful number since it is divisible by the number (12) 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 10101332020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15890381020800).

10101332020032 is an abundant number, since it is smaller than the sum of its proper divisors (21679430021568).

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

10101332020032 is a wasteful number, since it uses less digits than its factorization.

10101332020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9054 (or 9041 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10101332020032 its reverse (23002023310101), we get a palindrome (33103355330133).

The spelling of 10101332020032 in words is "ten trillion, one hundred one billion, three hundred thirty-two million, twenty thousand, thirty-two".