101010110021081 has 2 divisors, whose sum is σ = 101010110021082. Its totient is φ = 101010110021080.

The previous prime is 101010110021077. The next prime is 101010110021201. The reversal of 101010110021081 is 180120011010101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96748548455056 + 4261561566025 = 9836084^2 + 2064355^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010110021081 - 2² = 101010110021077 is a prime.

It is a super-2 number, since 2×101010110021081² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101010110071081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505055010540 + 50505055010541.

It is an arithmetic number, because the mean of its divisors is an integer number (50505055010541).

Almost surely, 2^{101010110021081} is an apocalyptic number.

It is an amenable number.

101010110021081 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010110021081 is an equidigital number, since it uses as much as digits as its factorization.

101010110021081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 101010110021081 its reverse (180120011010101), we get a palindrome (281130121031182).

The spelling of 101010110021081 in words is "one hundred one trillion, ten billion, one hundred ten million, twenty-one thousand, eighty-one".