10414104152100 has 288 divisors, whose sum is σ = 33231168819072. Its totient is φ = 2496998400000.

The previous prime is 10414104152077. The next prime is 10414104152117. The reversal of 10414104152100 is 125140141401.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 325618110 + ... + 325650090.

It is an arithmetic number, because the mean of its divisors is an integer number (115386002844).

Almost surely, 2^{10414104152100} is an apocalyptic number.

10414104152100 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 10414104152100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16615584409536).

10414104152100 is an abundant number, since it is smaller than the sum of its proper divisors (22817064666972).

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

10414104152100 is a wasteful number, since it uses less digits than its factorization.

10414104152100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33087 (or 33080 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

Adding to 10414104152100 its reverse (125140141401), we get a palindrome (10539244293501).

The spelling of 10414104152100 in words is "ten trillion, four hundred fourteen billion, one hundred four million, one hundred fifty-two thousand, one hundred".