21024010414100 has 72 divisors (see below), whose sum is σ = 48027029615040. Its totient is φ = 7966369025280.

The previous prime is 21024010414093. The next prime is 21024010414103. The reversal of 21024010414100 is 141401042012.

It is a super-3 number, since 3×21024010414100³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21024010414103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24183569 + ... + 25037831.

Almost surely, 2^{21024010414100} is an apocalyptic number.

21024010414100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21024010414100 is an abundant number, since it is smaller than the sum of its proper divisors (27003019200940).

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

21024010414100 is a wasteful number, since it uses less digits than its factorization.

21024010414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867249 (or 867242 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 21024010414100 its reverse (141401042012), we get a palindrome (21165411456112).

The spelling of 21024010414100 in words is "twenty-one trillion, twenty-four billion, ten million, four hundred fourteen thousand, one hundred".