127505026000021 has 2 divisors, whose sum is σ = 127505026000022. Its totient is φ = 127505026000020.

The previous prime is 127505025999983. The next prime is 127505026000069. The reversal of 127505026000021 is 120000620505721.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75566267008996 + 51938758991025 = 8692886^2 + 7206855^2 .

It is an emirp because it is prime and its reverse (120000620505721) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 127505026000021 - 2²⁷ = 127504891782293 is a prime.

It is a super-2 number, since 2×127505026000021² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (127505026000081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63752513000010 + 63752513000011.

It is an arithmetic number, because the mean of its divisors is an integer number (63752513000011).

Almost surely, 2^{127505026000021} is an apocalyptic number.

It is an amenable number.

127505026000021 is a deficient number, since it is larger than the sum of its proper divisors (1).

127505026000021 is an equidigital number, since it uses as much as digits as its factorization.

127505026000021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8400, while the sum is 31.

Adding to 127505026000021 its reverse (120000620505721), we get a palindrome (247505646505742).

The spelling of 127505026000021 in words is "one hundred twenty-seven trillion, five hundred five billion, twenty-six million, twenty-one", and thus it is an aban number.