20112001102001 has 8 divisors (see below), whose sum is σ = 21295199993544. Its totient is φ = 18928817766400.

The previous prime is 20112001101989. The next prime is 20112001102009. The reversal of 20112001102001 is 10020110021102.

It can be written as a sum of positive squares in 4 ways, for example, as 177999610000 + 19934001492001 = 421900^2 + 4464751^2 .

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 20112001102001 - 2¹⁰ = 20112001100977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20112001102009) 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, 1172960 + ... + 6449793.

It is an arithmetic number, because the mean of its divisors is an integer number (2661899999193).

Almost surely, 2^{20112001102001} is an apocalyptic number.

It is an amenable number.

20112001102001 is a deficient number, since it is larger than the sum of its proper divisors (1183198891543).

20112001102001 is a wasteful number, since it uses less digits than its factorization.

20112001102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7777971.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20112001102001 its reverse (10020110021102), we get a palindrome (30132111123103).

The spelling of 20112001102001 in words is "twenty trillion, one hundred twelve billion, one million, one hundred two thousand, one".