20121111101 has 24 divisors (see below), whose sum is σ = 25251329664. Its totient is φ = 15695709120.

The previous prime is 20121111071. The next prime is 20121111119. The reversal of 20121111101 is 10111112102.

It is not a de Polignac number, because 20121111101 - 2¹⁴ = 20121094717 is a prime.

It is a super-2 number, since 2×20121111101² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121111121) 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, 35786 + ... + 203771.

It is an arithmetic number, because the mean of its divisors is an integer number (1052138736).

Almost surely, 2^20121111101 is an apocalyptic number.

It is an amenable number.

20121111101 is a deficient number, since it is larger than the sum of its proper divisors (5130218563).

20121111101 is a wasteful number, since it uses less digits than its factorization.

20121111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239661 (or 239648 counting only the distinct ones).

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

Adding to 20121111101 its reverse (10111112102), we get a palindrome (30232223203).

It can be divided in two parts, 20 and 121111101, that added together give a palindrome (121111121).

The spelling of 20121111101 in words is "twenty billion, one hundred twenty-one million, one hundred eleven thousand, one hundred one".