21214634252130 has 384 divisors, whose sum is σ = 65302395125760. Its totient is φ = 4720879134720.

The previous prime is 21214634252117. The next prime is 21214634252143. The reversal of 21214634252130 is 3125243641212.

It is a happy number.

21214634252130 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 4 + 63 + 42 + 521 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (21214634252117) and next prime (21214634252143).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 126023077 + ... + 126191303.

It is an arithmetic number, because the mean of its divisors is an integer number (170058320640).

Almost surely, 2^{21214634252130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21214634252130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32651197562880).

21214634252130 is an abundant number, since it is smaller than the sum of its proper divisors (44087760873630).

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

21214634252130 is a wasteful number, since it uses less digits than its factorization.

21214634252130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168454 (or 168451 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 21214634252130 its reverse (3125243641212), we get a palindrome (24339877893342).

The spelling of 21214634252130 in words is "twenty-one trillion, two hundred fourteen billion, six hundred thirty-four million, two hundred fifty-two thousand, one hundred thirty".