1027610100081 has 6 divisors (see below), whose sum is σ = 1484325700130. Its totient is φ = 685073400048.

The previous prime is 1027610100059. The next prime is 1027610100137. The reversal of 1027610100081 is 1800010167201.

1027610100081 is a `hidden beast` number, since 10 + 27 + 610 + 10 + 0 + 0 + 8 + 1 = 666.

1027610100081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 947135757681 + 80474342400 = 973209^2 + 283680^2 .

It is not a de Polignac number, because 1027610100081 - 2⁹ = 1027610099569 is a prime.

It is a super-2 number, since 2×1027610100081² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1027610102081) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57089449996 + ... + 57089450013.

Almost surely, 2^{1027610100081} is an apocalyptic number.

It is an amenable number.

1027610100081 is a deficient number, since it is larger than the sum of its proper divisors (456715600049).

1027610100081 is a wasteful number, since it uses less digits than its factorization.

1027610100081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114178900015 (or 114178900012 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

Adding to 1027610100081 its reverse (1800010167201), we get a palindrome (2827620267282).

The spelling of 1027610100081 in words is "one trillion, twenty-seven billion, six hundred ten million, one hundred thousand, eighty-one".