102000101081 has 2 divisors, whose sum is σ = 102000101082. Its totient is φ = 102000101080.

The previous prime is 102000101059. The next prime is 102000101101. The reversal of 102000101081 is 180101000201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101962707856 + 37393225 = 319316^2 + 6115^2 .

It is a cyclic number.

It is not a de Polignac number, because 102000101081 - 2⁶ = 102000101017 is a prime.

It is a super-2 number, since 2×102000101081² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102000101681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000050540 + 51000050541.

It is an arithmetic number, because the mean of its divisors is an integer number (51000050541).

Almost surely, 2^102000101081 is an apocalyptic number.

It is an amenable number.

102000101081 is a deficient number, since it is larger than the sum of its proper divisors (1).

102000101081 is an equidigital number, since it uses as much as digits as its factorization.

102000101081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102000101081 its reverse (180101000201), we get a palindrome (282101101282).

The spelling of 102000101081 in words is "one hundred two billion, one hundred one thousand, eighty-one".