20014121122101 has 64 divisors (see below), whose sum is σ = 30949919078400. Its totient is φ = 12771926640000.

The previous prime is 20014121122087. The next prime is 20014121122117. The reversal of 20014121122101 is 10122112141002.

20014121122101 is a `hidden beast` number, since 20 + 0 + 1 + 412 + 11 + 221 + 0 + 1 = 666.

It is not a de Polignac number, because 20014121122101 - 2¹⁰ = 20014121121077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20014121122201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18078880 + ... + 19153958.

It is an arithmetic number, because the mean of its divisors is an integer number (483592485600).

Almost surely, 2^{20014121122101} is an apocalyptic number.

It is an amenable number.

20014121122101 is a deficient number, since it is larger than the sum of its proper divisors (10935797956299).

20014121122101 is a wasteful number, since it uses less digits than its factorization.

20014121122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075447 (or 1075441 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 20014121122101 its reverse (10122112141002), we get a palindrome (30136233263103).

The spelling of 20014121122101 in words is "twenty trillion, fourteen billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred one".