102101102111081 has 2 divisors, whose sum is σ = 102101102111082. Its totient is φ = 102101102111080.

The previous prime is 102101102111027. The next prime is 102101102111227. The reversal of 102101102111081 is 180111201101201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66531102355600 + 35569999755481 = 8156660^2 + 5964059^2 .

It is a cyclic number.

It is not a de Polignac number, because 102101102111081 - 2¹⁸ = 102101101848937 is a prime.

It is a super-3 number, since 3×102101102111081³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (102101102711081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050551055540 + 51050551055541.

It is an arithmetic number, because the mean of its divisors is an integer number (51050551055541).

Almost surely, 2^{102101102111081} is an apocalyptic number.

It is an amenable number.

102101102111081 is a deficient number, since it is larger than the sum of its proper divisors (1).

102101102111081 is an equidigital number, since it uses as much as digits as its factorization.

102101102111081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 20.

Adding to 102101102111081 its reverse (180111201101201), we get a palindrome (282212303212282).

The spelling of 102101102111081 in words is "one hundred two trillion, one hundred one billion, one hundred two million, one hundred eleven thousand, eighty-one".