102101110101 has 12 divisors (see below), whose sum is σ = 156154639212. Its totient is φ = 64063441536.

The previous prime is 102101110043. The next prime is 102101110127. The reversal of 102101110101 is 101011101201.

It can be written as a sum of positive squares in 2 ways, for example, as 46876580100 + 55224530001 = 216510^2 + 234999^2 .

It is not a de Polignac number, because 102101110101 - 2¹⁹ = 102100585813 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101110201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 333663606 + ... + 333663911.

It is an arithmetic number, because the mean of its divisors is an integer number (13012886601).

Almost surely, 2^102101110101 is an apocalyptic number.

It is an amenable number.

102101110101 is a deficient number, since it is larger than the sum of its proper divisors (54053529111).

102101110101 is a wasteful number, since it uses less digits than its factorization.

102101110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667327540 (or 667327537 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 102101110101 its reverse (101011101201), we get a palindrome (203112211302).

The spelling of 102101110101 in words is "one hundred two billion, one hundred one million, one hundred ten thousand, one hundred one".