214134241010100 has 144 divisors (see below), whose sum is σ = 640956894008256. Its totient is φ = 55158139520000.

The previous prime is 214134241010069. The next prime is 214134241010113. The reversal of 214134241010100 is 1010142431412.

It is a happy number.

It is a congruent number.

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, 84942294 + ... + 87426893.

It is an arithmetic number, because the mean of its divisors is an integer number (4451089541724).

Almost surely, 2^{214134241010100} is an apocalyptic number.

214134241010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214134241010100 is an abundant number, since it is smaller than the sum of its proper divisors (426822652998156).

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

214134241010100 is a wasteful number, since it uses less digits than its factorization.

214134241010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172369346 (or 172369339 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 214134241010100 its reverse (1010142431412), we get a palindrome (215144383441512).

The spelling of 214134241010100 in words is "two hundred fourteen trillion, one hundred thirty-four billion, two hundred forty-one million, ten thousand, one hundred".