20100201230032 has 240 divisors, whose sum is σ = 49633905226752. Its totient is φ = 7797528426240.

The previous prime is 20100201230023. The next prime is 20100201230051. The reversal of 20100201230032 is 23003210200102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20100201229988 and 20100201230015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2920264063 + ... + 2920270945.

Almost surely, 2^{20100201230032} is an apocalyptic number.

20100201230032 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 20100201230032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24816952613376).

20100201230032 is an abundant number, since it is smaller than the sum of its proper divisors (29533703996720).

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

20100201230032 is a wasteful number, since it uses less digits than its factorization.

20100201230032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8326 (or 8313 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20100201230032 its reverse (23003210200102), we get a palindrome (43103411430134).

The spelling of 20100201230032 in words is "twenty trillion, one hundred billion, two hundred one million, two hundred thirty thousand, thirty-two".