10414301101000 has 32 divisors (see below), whose sum is σ = 24369464578680. Its totient is φ = 4165720440000.

The previous prime is 10414301100991. The next prime is 10414301101013. The reversal of 10414301101000 is 10110341401.

It can be written as a sum of positive squares in 4 ways, for example, as 6598599863076 + 3815701237924 = 2568774^2 + 1953382^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5207149551 + ... + 5207151550.

Almost surely, 2^{10414301101000} is an apocalyptic number.

10414301101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10414301101000 is an abundant number, since it is smaller than the sum of its proper divisors (13955163477680).

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

10414301101000 is a wasteful number, since it uses less digits than its factorization.

10414301101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10414301122 (or 10414301108 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10414301101000 its reverse (10110341401), we get a palindrome (10424411442401).

The spelling of 10414301101000 in words is "ten trillion, four hundred fourteen billion, three hundred one million, one hundred one thousand".