102011100101 has 2 divisors, whose sum is σ = 102011100102. Its totient is φ = 102011100100.

The previous prime is 102011100067. The next prime is 102011100161. The reversal of 102011100101 is 101001110201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86535988900 + 15475111201 = 294170^2 + 124399^2 .

It is a cyclic number.

It is not a de Polignac number, because 102011100101 - 2¹⁰ = 102011099077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102011100161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51005550050 + 51005550051.

It is an arithmetic number, because the mean of its divisors is an integer number (51005550051).

Almost surely, 2^102011100101 is an apocalyptic number.

It is an amenable number.

102011100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102011100101 is an equidigital number, since it uses as much as digits as its factorization.

102011100101 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 8.

Adding to 102011100101 its reverse (101001110201), we get a palindrome (203012210302).

The spelling of 102011100101 in words is "one hundred two billion, eleven million, one hundred thousand, one hundred one".