10003014134100 has 108 divisors (see below), whose sum is σ = 33765729972156. Its totient is φ = 2462280399360.

The previous prime is 10003014134089. The next prime is 10003014134117. The reversal of 10003014134100 is 143141030001.

It can be written as a sum of positive squares in 6 ways, for example, as 9209089296 + 9993805044804 = 95964^2 + 3161298^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 427467537 + ... + 427490936.

Almost surely, 2^{10003014134100} is an apocalyptic number.

10003014134100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10003014134100 is an abundant number, since it is smaller than the sum of its proper divisors (23762715838056).

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

10003014134100 is a wasteful number, since it uses less digits than its factorization.

10003014134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854958506 (or 854958496 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10003014134100 its reverse (143141030001), we get a palindrome (10146155164101).

The spelling of 10003014134100 in words is "ten trillion, three billion, fourteen million, one hundred thirty-four thousand, one hundred".