20101110202121 has 8 divisors (see below), whose sum is σ = 21705385243080. Its totient is φ = 18505125988992.

The previous prime is 20101110202091. The next prime is 20101110202123. The reversal of 20101110202121 is 12120201110102.

It can be written as a sum of positive squares in 4 ways, for example, as 136397262400 + 19964712939721 = 369320^2 + 4468189^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20101110202121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20101110202096 and 20101110202105.

It is not an unprimeable number, because it can be changed into a prime (20101110202123) 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, 2072701916 + ... + 2072711613.

It is an arithmetic number, because the mean of its divisors is an integer number (2713173155385).

Almost surely, 2^{20101110202121} is an apocalyptic number.

It is an amenable number.

20101110202121 is a deficient number, since it is larger than the sum of its proper divisors (1604275040959).

20101110202121 is a wasteful number, since it uses less digits than its factorization.

20101110202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4145413915.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20101110202121 its reverse (12120201110102), we get a palindrome (32221311312223).

The spelling of 20101110202121 in words is "twenty trillion, one hundred one billion, one hundred ten million, two hundred two thousand, one hundred twenty-one".