20100101001121 has 8 divisors (see below), whose sum is σ = 20607101159400. Its totient is φ = 19593898642560.

The previous prime is 20100101001119. The next prime is 20100101001137. The reversal of 20100101001121 is 12110010100102.

It can be written as a sum of positive squares in 4 ways, for example, as 689379823521 + 19410721177600 = 830289^2 + 4405760^2 .

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 20100101001121 - 2¹ = 20100101001119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20100101001098 and 20100101001107.

It is not an unprimeable number, because it can be changed into a prime (20100101007121) 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 7 ways as a sum of consecutive naturals, for example, 199398906 + ... + 199499683.

It is an arithmetic number, because the mean of its divisors is an integer number (2575887644925).

Almost surely, 2^{20100101001121} is an apocalyptic number.

It is an amenable number.

20100101001121 is a deficient number, since it is larger than the sum of its proper divisors (507000158279).

20100101001121 is a wasteful number, since it uses less digits than its factorization.

20100101001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398899859.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 20100101001121 its reverse (12110010100102), we get a palindrome (32210111101223).

The spelling of 20100101001121 in words is "twenty trillion, one hundred billion, one hundred one million, one thousand, one hundred twenty-one".