102100111101 has 24 divisors (see below), whose sum is σ = 152841911040. Its totient is φ = 65608560000.

The previous prime is 102100111081. The next prime is 102100111109. The reversal of 102100111101 is 101111001201.

It is not a de Polignac number, because 102100111101 - 2¹¹ = 102100109053 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 (102100111109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 658956 + ... + 799013.

It is an arithmetic number, because the mean of its divisors is an integer number (6368412960).

Almost surely, 2^102100111101 is an apocalyptic number.

It is an amenable number.

102100111101 is a deficient number, since it is larger than the sum of its proper divisors (50741799939).

102100111101 is a wasteful number, since it uses less digits than its factorization.

102100111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458257 (or 1458254 counting only the distinct ones).

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

Adding to 102100111101 its reverse (101111001201), we get a palindrome (203211112302).

The spelling of 102100111101 in words is "one hundred two billion, one hundred million, one hundred eleven thousand, one hundred one".