21142101024 has 144 divisors (see below), whose sum is σ = 67114311264. Its totient is φ = 6257664000.

The previous prime is 21142101011. The next prime is 21142101031. The reversal of 21142101024 is 42010124112.

21142101024 is a `hidden beast` number, since 211 + 421 + 0 + 10 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 21142100988 and 21142101006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58624 + ... + 213824.

It is an arithmetic number, because the mean of its divisors is an integer number (466071606).

Almost surely, 2^21142101024 is an apocalyptic number.

21142101024 is a gapful number since it is divisible by the number (24) 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 21142101024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33557155632).

21142101024 is an abundant number, since it is smaller than the sum of its proper divisors (45972210240).

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

21142101024 is a wasteful number, since it uses less digits than its factorization.

21142101024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155271 (or 155260 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21142101024 its reverse (42010124112), we get a palindrome (63152225136).

The spelling of 21142101024 in words is "twenty-one billion, one hundred forty-two million, one hundred one thousand, twenty-four".