20121010112101 has 8 divisors (see below), whose sum is σ = 20127889900800. Its totient is φ = 20114130952560.

The previous prime is 20121010112087. The next prime is 20121010112143. The reversal of 20121010112101 is 10121101012102.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20121010112101 - 2⁷ = 20121010111973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121010112201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68953416 + ... + 69244606.

It is an arithmetic number, because the mean of its divisors is an integer number (2515986237600).

Almost surely, 2^{20121010112101} is an apocalyptic number.

It is an amenable number.

20121010112101 is a deficient number, since it is larger than the sum of its proper divisors (6879788699).

20121010112101 is a wasteful number, since it uses less digits than its factorization.

20121010112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314579.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 20121010112101 its reverse (10121101012102), we get a palindrome (30242111124203).

Subtracting from 20121010112101 its reverse (10121101012102), we obtain a palindrome (9999909099999).

The spelling of 20121010112101 in words is "twenty trillion, one hundred twenty-one billion, ten million, one hundred twelve thousand, one hundred one".