251220312414101 has 8 divisors (see below), whose sum is σ = 254972016805920. Its totient is φ = 247468671183888.

The previous prime is 251220312414047. The next prime is 251220312414103. The reversal of 251220312414101 is 101414213022152.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-251220312414101 is a prime.

It is a super-2 number, since 2×251220312414101² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251220312414103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7745786 + ... + 23715771.

It is an arithmetic number, because the mean of its divisors is an integer number (31871502100740).

Almost surely, 2^{251220312414101} is an apocalyptic number.

It is an amenable number.

251220312414101 is a deficient number, since it is larger than the sum of its proper divisors (3751704391819).

251220312414101 is a wasteful number, since it uses less digits than its factorization.

251220312414101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31580803.

The product of its (nonzero) digits is 3840, while the sum is 29.

Adding to 251220312414101 its reverse (101414213022152), we get a palindrome (352634525436253).

The spelling of 251220312414101 in words is "two hundred fifty-one trillion, two hundred twenty billion, three hundred twelve million, four hundred fourteen thousand, one hundred one".