20101201102021 has 16 divisors (see below), whose sum is σ = 21660638131440. Its totient is φ = 18543650780160.

The previous prime is 20101201102001. The next prime is 20101201102027. The reversal of 20101201102021 is 12020110210102.

It can be written as a sum of positive squares in 8 ways, for example, as 3401759716996 + 16699441385025 = 1844386^2 + 4086495^2 .

It is a cyclic number.

It is not a de Polignac number, because 20101201102021 - 2³³ = 20092611167429 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 junction number, because it is equal to n+sod(n) for n = 20101201101992 and 20101201102010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101201102027) 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 15 ways as a sum of consecutive naturals, for example, 235386751 + ... + 235472131.

It is an arithmetic number, because the mean of its divisors is an integer number (1353789883215).

Almost surely, 2^{20101201102021} is an apocalyptic number.

It is an amenable number.

20101201102021 is a deficient number, since it is larger than the sum of its proper divisors (1559437029419).

20101201102021 is a wasteful number, since it uses less digits than its factorization.

20101201102021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96216.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20101201102021 its reverse (12020110210102), we get a palindrome (32121311312123).

The spelling of 20101201102021 in words is "twenty trillion, one hundred one billion, two hundred one million, one hundred two thousand, twenty-one".