10000120100432 has 320 divisors, whose sum is σ = 24664841349120. Its totient is φ = 3815079782400.

The previous prime is 10000120100401. The next prime is 10000120100461. The reversal of 10000120100432 is 23400102100001.

It is a super-2 number, since 2×10000120100432² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9017240294 + ... + 9017241402.

It is an arithmetic number, because the mean of its divisors is an integer number (77077629216).

Almost surely, 2^{10000120100432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000120100432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12332420674560).

10000120100432 is an abundant number, since it is smaller than the sum of its proper divisors (14664721248688).

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

10000120100432 is a wasteful number, since it uses less digits than its factorization.

10000120100432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1916 counting only the distinct ones).

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

Adding to 10000120100432 its reverse (23400102100001), we get a palindrome (33400222200433).

The spelling of 10000120100432 in words is "ten trillion, one hundred twenty million, one hundred thousand, four hundred thirty-two".