20001121100101 has 8 divisors (see below), whose sum is σ = 20059627377240. Its totient is φ = 19942625252352.

The previous prime is 20001121100099. The next prime is 20001121100113. The reversal of 20001121100101 is 10100112110002.

It can be written as a sum of positive squares in 4 ways, for example, as 67342845025 + 19933778255076 = 259505^2 + 4464726^2 .

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 20001121100101 - 2¹ = 20001121100099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001121100141) 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, 1242091 + ... + 6445543.

It is an arithmetic number, because the mean of its divisors is an integer number (2507453422155).

Almost surely, 2^{20001121100101} is an apocalyptic number.

It is an amenable number.

20001121100101 is a deficient number, since it is larger than the sum of its proper divisors (58506277139).

20001121100101 is a wasteful number, since it uses less digits than its factorization.

20001121100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5214695.

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

Adding to 20001121100101 its reverse (10100112110002), we get a palindrome (30101233210103).

The spelling of 20001121100101 in words is "twenty trillion, one billion, one hundred twenty-one million, one hundred thousand, one hundred one".