10010432100020 has 192 divisors, whose sum is σ = 24607035048960. Its totient is φ = 3380230963200.

The previous prime is 10010432100007. The next prime is 10010432100023. The reversal of 10010432100020 is 2000123401001.

It is a super-2 number, since 2×10010432100020² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10010432099968 and 10010432100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010432100023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 437564822 + ... + 437587698.

It is an arithmetic number, because the mean of its divisors is an integer number (128161640880).

Almost surely, 2^{10010432100020} is an apocalyptic number.

10010432100020 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 10010432100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12303517524480).

10010432100020 is an abundant number, since it is smaller than the sum of its proper divisors (14596602948940).

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

10010432100020 is a wasteful number, since it uses less digits than its factorization.

10010432100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24474 (or 24472 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10010432100020 its reverse (2000123401001), we get a palindrome (12010555501021).

The spelling of 10010432100020 in words is "ten trillion, ten billion, four hundred thirty-two million, one hundred thousand, twenty".