20121002011001 has 2 divisors, whose sum is σ = 20121002011002. Its totient is φ = 20121002011000.

The previous prime is 20121002010829. The next prime is 20121002011007. The reversal of 20121002011001 is 10011020012102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19796261591401 + 324740419600 = 4449299^2 + 569860^2 .

It is a cyclic number.

It is not a de Polignac number, because 20121002011001 - 2²² = 20120997816697 is a prime.

It is a super-2 number, since 2×20121002011001² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20121002011007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060501005500 + 10060501005501.

It is an arithmetic number, because the mean of its divisors is an integer number (10060501005501).

Almost surely, 2^{20121002011001} is an apocalyptic number.

It is an amenable number.

20121002011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121002011001 is an equidigital number, since it uses as much as digits as its factorization.

20121002011001 is an evil number, because the sum of its binary digits is even.

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

Adding to 20121002011001 its reverse (10011020012102), we get a palindrome (30132022023103).

The spelling of 20121002011001 in words is "twenty trillion, one hundred twenty-one billion, two million, eleven thousand, one".