12121110201101 has 16 divisors (see below), whose sum is σ = 13919507933760. Its totient is φ = 10438836382080.

The previous prime is 12121110201061. The next prime is 12121110201107. The reversal of 12121110201101 is 10110201112121.

It is a cyclic number.

It is not a de Polignac number, because 12121110201101 - 2²² = 12121106006797 is a prime.

It is a super-2 number, since 2×12121110201101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121110201107) 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, 4468505 + ... + 6649041.

It is an arithmetic number, because the mean of its divisors is an integer number (869969245860).

Almost surely, 2^{12121110201101} is an apocalyptic number.

12121110201101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12121110201101 is a deficient number, since it is larger than the sum of its proper divisors (1798397732659).

12121110201101 is a wasteful number, since it uses less digits than its factorization.

12121110201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207164.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 12121110201101 its reverse (10110201112121), we get a palindrome (22231311313222).

It can be divided in two parts, 1212111020 and 1101, that added together give a palindrome (1212112121).

The spelling of 12121110201101 in words is "twelve trillion, one hundred twenty-one billion, one hundred ten million, two hundred one thousand, one hundred one".