101231851885127 has 2 divisors, whose sum is σ = 101231851885128. Its totient is φ = 101231851885126.

The previous prime is 101231851885123. The next prime is 101231851885181. The reversal of 101231851885127 is 721588158132101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101231851885127 - 2² = 101231851885123 is a prime.

It is a super-3 number, since 3×101231851885127³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101231851885121) 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 as a sum of consecutive naturals, namely, 50615925942563 + 50615925942564.

It is an arithmetic number, because the mean of its divisors is an integer number (50615925942564).

Almost surely, 2^{101231851885127} is an apocalyptic number.

101231851885127 is a deficient number, since it is larger than the sum of its proper divisors (1).

101231851885127 is an equidigital number, since it uses as much as digits as its factorization.

101231851885127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1075200, while the sum is 53.

The spelling of 101231851885127 in words is "one hundred one trillion, two hundred thirty-one billion, eight hundred fifty-one million, eight hundred eighty-five thousand, one hundred twenty-seven".