10022013125514 has 144 divisors (see below), whose sum is σ = 24001617276000. Its totient is φ = 3003569859456.

The previous prime is 10022013125489. The next prime is 10022013125543. The reversal of 10022013125514 is 41552131022001.

It is a happy number.

10022013125514 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 20 + 1 + 3 + 125 + 514 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 163998537 + ... + 164059635.

It is an arithmetic number, because the mean of its divisors is an integer number (166677897750).

Almost surely, 2^{10022013125514} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022013125514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12000808638000).

10022013125514 is an abundant number, since it is smaller than the sum of its proper divisors (13979604150486).

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

10022013125514 is a wasteful number, since it uses less digits than its factorization.

10022013125514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61397 (or 61285 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 10022013125514 its reverse (41552131022001), we get a palindrome (51574144147515).

The spelling of 10022013125514 in words is "ten trillion, twenty-two billion, thirteen million, one hundred twenty-five thousand, five hundred fourteen".