102011101101 has 24 divisors (see below), whose sum is σ = 181353070080. Its totient is φ = 53808052896.

The previous prime is 102011101097. The next prime is 102011101123. The reversal of 102011101101 is 101101110201.

It is not a de Polignac number, because 102011101101 - 2² = 102011101097 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 (102011101151) 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, 62277021 + ... + 62278658.

It is an arithmetic number, because the mean of its divisors is an integer number (7556377920).

Almost surely, 2^102011101101 is an apocalyptic number.

It is an amenable number.

102011101101 is a deficient number, since it is larger than the sum of its proper divisors (79341968979).

102011101101 is a wasteful number, since it uses less digits than its factorization.

102011101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124555705 (or 124555702 counting only the distinct ones).

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

Adding to 102011101101 its reverse (101101110201), we get a palindrome (203112211302).

The spelling of 102011101101 in words is "one hundred two billion, eleven million, one hundred one thousand, one hundred one".