101102102111 has 16 divisors (see below), whose sum is σ = 108945408000. Its totient is φ = 93512942208.

The previous prime is 101102102093. The next prime is 101102102173. The reversal of 101102102111 is 111201201101.

It is a cyclic number.

It is not a de Polignac number, because 101102102111 - 2⁶ = 101102102047 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101102102092 and 101102102101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102108111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1949090 + ... + 2000288.

It is an arithmetic number, because the mean of its divisors is an integer number (6809088000).

Almost surely, 2^101102102111 is an apocalyptic number.

101102102111 is a deficient number, since it is larger than the sum of its proper divisors (7843305889).

101102102111 is a wasteful number, since it uses less digits than its factorization.

101102102111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53678.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101102102111 its reverse (111201201101), we get a palindrome (212303303212).

The spelling of 101102102111 in words is "one hundred one billion, one hundred two million, one hundred two thousand, one hundred eleven".