100120112210101 has 2 divisors, whose sum is σ = 100120112210102. Its totient is φ = 100120112210100.

The previous prime is 100120112210051. The next prime is 100120112210119. The reversal of 100120112210101 is 101012211021001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83708336399076 + 16411775811025 = 9149226^2 + 4051145^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100120112210101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100120112211101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060056105050 + 50060056105051.

It is an arithmetic number, because the mean of its divisors is an integer number (50060056105051).

Almost surely, 2^{100120112210101} is an apocalyptic number.

It is an amenable number.

100120112210101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100120112210101 is an equidigital number, since it uses as much as digits as its factorization.

100120112210101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100120112210101 its reverse (101012211021001), we get a palindrome (201132323231102).

The spelling of 100120112210101 in words is "one hundred trillion, one hundred twenty billion, one hundred twelve million, two hundred ten thousand, one hundred one".