20100122120101 has 2 divisors, whose sum is σ = 20100122120102. Its totient is φ = 20100122120100.

The previous prime is 20100122120041. The next prime is 20100122120107. The reversal of 20100122120101 is 10102122100102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17638941615876 + 2461180504225 = 4199874^2 + 1568815^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20100122120101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20100122120107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050061060050 + 10050061060051.

It is an arithmetic number, because the mean of its divisors is an integer number (10050061060051).

Almost surely, 2^{20100122120101} is an apocalyptic number.

It is an amenable number.

20100122120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20100122120101 is an equidigital number, since it uses as much as digits as its factorization.

20100122120101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20100122120101 its reverse (10102122100102), we get a palindrome (30202244220203).

The spelling of 20100122120101 in words is "twenty trillion, one hundred billion, one hundred twenty-two million, one hundred twenty thousand, one hundred one".