141415010100 has 864 divisors, whose sum is σ = 584940894720. Its totient is φ = 27754721280.

The previous prime is 141415010083. The next prime is 141415010129. The reversal of 141415010100 is 1010514141.

141415010100 is a `hidden beast` number, since 1 + 414 + 150 + 1 + 0 + 100 = 666.

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 287 ways as a sum of consecutive naturals, for example, 69695886 + ... + 69697914.

Almost surely, 2^141415010100 is an apocalyptic number.

141415010100 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 141415010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292470447360).

141415010100 is an abundant number, since it is smaller than the sum of its proper divisors (443525884620).

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

141415010100 is a wasteful number, since it uses less digits than its factorization.

141415010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 141415010100 its reverse (1010514141), we get a palindrome (142425524241).

The spelling of 141415010100 in words is "one hundred forty-one billion, four hundred fifteen million, ten thousand, one hundred".