102110101 has 2 divisors, whose sum is σ = 102110102. Its totient is φ = 102110100.

The previous prime is 102110089. The next prime is 102110111. The reversal of 102110101 is 101011201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87441201 + 14668900 = 9351^2 + 3830^2 .

It is a cyclic number.

It is not a de Polignac number, because 102110101 - 2⁵ = 102110069 is a prime.

It is a super-3 number, since 3×102110101³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102110111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51055050 + 51055051.

It is an arithmetic number, because the mean of its divisors is an integer number (51055051).

Almost surely, 2^102110101 is an apocalyptic number.

It is an amenable number.

102110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102110101 is an equidigital number, since it uses as much as digits as its factorization.

102110101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 102110101 is about 10104.9542799559. The cubic root of 102110101 is about 467.4009261301.

Adding to 102110101 its reverse (101011201), we get a palindrome (203121302).

The spelling of 102110101 in words is "one hundred two million, one hundred ten thousand, one hundred one".