20121131110101 has 32 divisors (see below), whose sum is σ = 32948888509440. Its totient is φ = 10659934492416.

The previous prime is 20121131110081. The next prime is 20121131110147. The reversal of 20121131110101 is 10101113112102.

It is not a de Polignac number, because 20121131110101 - 2¹⁰ = 20121131109077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121131111101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420585871 + ... + 420633708.

It is an arithmetic number, because the mean of its divisors is an integer number (1029652765920).

Almost surely, 2^{20121131110101} is an apocalyptic number.

20121131110101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20121131110101 is a deficient number, since it is larger than the sum of its proper divisors (12827757399339).

20121131110101 is a wasteful number, since it uses less digits than its factorization.

20121131110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841219673.

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 20121131110101 its reverse (10101113112102), we get a palindrome (30222244222203).

The spelling of 20121131110101 in words is "twenty trillion, one hundred twenty-one billion, one hundred thirty-one million, one hundred ten thousand, one hundred one".