12101111001 has 96 divisors (see below), whose sum is σ = 21588320000. Its totient is φ = 6510938112.

The previous prime is 12101110991. The next prime is 12101111017. The reversal of 12101111001 is 10011110121.

It is not a de Polignac number, because 12101111001 - 2¹⁴ = 12101094617 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12101111101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11319495 + ... + 11320563.

Almost surely, 2^12101111001 is an apocalyptic number.

It is an amenable number.

12101111001 is a deficient number, since it is larger than the sum of its proper divisors (9487208999).

12101111001 is a wasteful number, since it uses less digits than its factorization.

12101111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1291 counting only the distinct ones).

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

Adding to 12101111001 its reverse (10011110121), we get a palindrome (22112221122).

The spelling of 12101111001 in words is "twelve billion, one hundred one million, one hundred eleven thousand, one".