102101102111027 has 2 divisors, whose sum is σ = 102101102111028. Its totient is φ = 102101102111026.

The previous prime is 102101102110993. The next prime is 102101102111081. The reversal of 102101102111027 is 720111201101201.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 102101102111027 - 2⁴⁴ = 84508916066611 is a prime.

It is a super-3 number, since 3×102101102111027³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (102101102111227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050551055513 + 51050551055514.

It is an arithmetic number, because the mean of its divisors is an integer number (51050551055514).

Almost surely, 2^{102101102111027} is an apocalyptic number.

102101102111027 is a deficient number, since it is larger than the sum of its proper divisors (1).

102101102111027 is an equidigital number, since it uses as much as digits as its factorization.

102101102111027 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 102101102111027 its reverse (720111201101201), we get a palindrome (822212303212228).

The spelling of 102101102111027 in words is "one hundred two trillion, one hundred one billion, one hundred two million, one hundred eleven thousand, twenty-seven".