20032101101232 has 480 divisors, whose sum is σ = 63591054912000. Its totient is φ = 5987740216320.

The previous prime is 20032101101197. The next prime is 20032101101237. The reversal of 20032101101232 is 23210110123002.

20032101101232 is a `hidden beast` number, since 2 + 0 + 0 + 321 + 0 + 110 + 1 + 232 = 666.

It is a super-2 number, since 2×20032101101232² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20032101101237) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15187339069 + ... + 15187340387.

It is an arithmetic number, because the mean of its divisors is an integer number (132481364400).

Almost surely, 2^{20032101101232} is an apocalyptic number.

20032101101232 is a gapful number since it is divisible by the number (22) 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 20032101101232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31795527456000).

20032101101232 is an abundant number, since it is smaller than the sum of its proper divisors (43558953810768).

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

20032101101232 is a wasteful number, since it uses less digits than its factorization.

20032101101232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20032101101232 its reverse (23210110123002), we get a palindrome (43242211224234).

The spelling of 20032101101232 in words is "twenty trillion, thirty-two billion, one hundred one million, one hundred one thousand, two hundred thirty-two".