10201414444157 has 2 divisors, whose sum is σ = 10201414444158. Its totient is φ = 10201414444156.

The previous prime is 10201414444141. The next prime is 10201414444181. The reversal of 10201414444157 is 75144441410201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6346262834041 + 3855151610116 = 2519179^2 + 1963454^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201414444157 - 2⁴ = 10201414444141 is a prime.

It is a super-2 number, since 2×10201414444157² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10201414444157.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10201414444457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100707222078 + 5100707222079.

It is an arithmetic number, because the mean of its divisors is an integer number (5100707222079).

Almost surely, 2^{10201414444157} is an apocalyptic number.

It is an amenable number.

10201414444157 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201414444157 is an equidigital number, since it uses as much as digits as its factorization.

10201414444157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 71680, while the sum is 38.

Adding to 10201414444157 its reverse (75144441410201), we get a palindrome (85345855854358).

The spelling of 10201414444157 in words is "ten trillion, two hundred one billion, four hundred fourteen million, four hundred forty-four thousand, one hundred fifty-seven".