20121111102133 has 2 divisors, whose sum is σ = 20121111102134. Its totient is φ = 20121111102132.

The previous prime is 20121111102067. The next prime is 20121111102163. The reversal of 20121111102133 is 33120111112102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19542040327044 + 579070775089 = 4420638^2 + 760967^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20121111102133 is a prime.

It is a super-2 number, since 2×20121111102133² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20121111102133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20121111102163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060555551066 + 10060555551067.

It is an arithmetic number, because the mean of its divisors is an integer number (10060555551067).

Almost surely, 2^{20121111102133} is an apocalyptic number.

It is an amenable number.

20121111102133 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121111102133 is an equidigital number, since it uses as much as digits as its factorization.

20121111102133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 20121111102133 its reverse (33120111112102), we get a palindrome (53241222214235).

The spelling of 20121111102133 in words is "twenty trillion, one hundred twenty-one billion, one hundred eleven million, one hundred two thousand, one hundred thirty-three".