20102121101101 has 8 divisors (see below), whose sum is σ = 21717602452280. Its totient is φ = 18496520370432.

The previous prime is 20102121101087. The next prime is 20102121101197. The reversal of 20102121101101 is 10110112120102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16351759876 + 20085769341225 = 127874^2 + 4481715^2 .

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

It is not a de Polignac number, because 20102121101101 - 2⁷ = 20102121100973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102121101201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2470150896 + ... + 2470159033.

It is an arithmetic number, because the mean of its divisors is an integer number (2714700306535).

Almost surely, 2^{20102121101101} is an apocalyptic number.

It is an amenable number.

20102121101101 is a deficient number, since it is larger than the sum of its proper divisors (1615481351179).

20102121101101 is a wasteful number, since it uses less digits than its factorization.

20102121101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4940310255.

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

Adding to 20102121101101 its reverse (10110112120102), we get a palindrome (30212233221203).

The spelling of 20102121101101 in words is "twenty trillion, one hundred two billion, one hundred twenty-one million, one hundred one thousand, one hundred one".