10432121145100 has 144 divisors (see below), whose sum is σ = 22919386565376. Its totient is φ = 4121190112000.

The previous prime is 10432121145079. The next prime is 10432121145137. The reversal of 10432121145100 is 154112123401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8529943089 + ... + 8529944311.

It is an arithmetic number, because the mean of its divisors is an integer number (159162406704).

Almost surely, 2^{10432121145100} is an apocalyptic number.

10432121145100 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 10432121145100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11459693282688).

10432121145100 is an abundant number, since it is smaller than the sum of its proper divisors (12487265420276).

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

10432121145100 is a wasteful number, since it uses less digits than its factorization.

10432121145100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3136 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 10432121145100 its reverse (154112123401), we get a palindrome (10586233268501).

The spelling of 10432121145100 in words is "ten trillion, four hundred thirty-two billion, one hundred twenty-one million, one hundred forty-five thousand, one hundred".