10214251545251 has 16 divisors (see below), whose sum is σ = 11004757256640. Its totient is φ = 9424431527040.

The previous prime is 10214251545241. The next prime is 10214251545259. The reversal of 10214251545251 is 15254515241201.

It is a cyclic number.

It is not a de Polignac number, because 10214251545251 - 2²² = 10214247350947 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10214251545259) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 581238101 + ... + 581255673.

It is an arithmetic number, because the mean of its divisors is an integer number (687797328540).

Almost surely, 2^{10214251545251} is an apocalyptic number.

10214251545251 is a deficient number, since it is larger than the sum of its proper divisors (790505711389).

10214251545251 is a wasteful number, since it uses less digits than its factorization.

10214251545251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34526.

The product of its (nonzero) digits is 80000, while the sum is 38.

Adding to 10214251545251 its reverse (15254515241201), we get a palindrome (25468766786452).

The spelling of 10214251545251 in words is "ten trillion, two hundred fourteen billion, two hundred fifty-one million, five hundred forty-five thousand, two hundred fifty-one".