214024110440100 has 144 divisors (see below), whose sum is σ = 673389945785088. Its totient is φ = 52264075253760.

The previous prime is 214024110440089. The next prime is 214024110440131. The reversal of 214024110440100 is 1044011420412.

It is a super-2 number, since 2×214024110440100² (a number of 29 digits) contains 22 as substring.

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, 566912812 + ... + 567290211.

It is an arithmetic number, because the mean of its divisors is an integer number (4676319067952).

Almost surely, 2^{214024110440100} is an apocalyptic number.

214024110440100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214024110440100 is an abundant number, since it is smaller than the sum of its proper divisors (459365835344988).

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

214024110440100 is a wasteful number, since it uses less digits than its factorization.

214024110440100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134203094 (or 1134203087 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 214024110440100 its reverse (1044011420412), we get a palindrome (215068121860512).

The spelling of 214024110440100 in words is "two hundred fourteen trillion, twenty-four billion, one hundred ten million, four hundred forty thousand, one hundred".