51200101410127 has 2 divisors, whose sum is σ = 51200101410128. Its totient is φ = 51200101410126.

The previous prime is 51200101410001. The next prime is 51200101410193. The reversal of 51200101410127 is 72101410100215.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 51200101410127 - 2³⁹ = 50650345596239 is a prime.

It is a super-2 number, since 2×51200101410127² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51200101480127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25600050705063 + 25600050705064.

It is an arithmetic number, because the mean of its divisors is an integer number (25600050705064).

Almost surely, 2^{51200101410127} is an apocalyptic number.

51200101410127 is a deficient number, since it is larger than the sum of its proper divisors (1).

51200101410127 is an equidigital number, since it uses as much as digits as its factorization.

51200101410127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 25.

The spelling of 51200101410127 in words is "fifty-one trillion, two hundred billion, one hundred one million, four hundred ten thousand, one hundred twenty-seven".