12101000001111 has 48 divisors (see below), whose sum is σ = 20441441180160. Its totient is φ = 6753840609600.

The previous prime is 12101000000993. The next prime is 12101000001149. The reversal of 12101000001111 is 11110000010121.

It is not a de Polignac number, because 12101000001111 - 2¹³ = 12100999992919 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 12101000001093 and 12101000001102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101000001151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149168461 + ... + 149249561.

It is an arithmetic number, because the mean of its divisors is an integer number (425863357920).

Almost surely, 2^{12101000001111} is an apocalyptic number.

12101000001111 is a deficient number, since it is larger than the sum of its proper divisors (8340441179049).

12101000001111 is a wasteful number, since it uses less digits than its factorization.

12101000001111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136236 (or 136233 counting only the distinct ones).

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

Adding to 12101000001111 its reverse (11110000010121), we get a palindrome (23211000011232).

The spelling of 12101000001111 in words is "twelve trillion, one hundred one billion, one thousand, one hundred eleven".