101111012010101 has 2 divisors, whose sum is σ = 101111012010102. Its totient is φ = 101111012010100.

The previous prime is 101111012010089. The next prime is 101111012010199. The reversal of 101111012010101 is 101010210111101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87746496636100 + 13364515374001 = 9367310^2 + 3655751^2 .

It is an emirp because it is prime and its reverse (101010210111101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101111012010101 - 2⁶ = 101111012010037 is a prime.

It is a super-3 number, since 3×101111012010101³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111012010301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555506005050 + 50555506005051.

It is an arithmetic number, because the mean of its divisors is an integer number (50555506005051).

Almost surely, 2^{101111012010101} is an apocalyptic number.

It is an amenable number.

101111012010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111012010101 is an equidigital number, since it uses as much as digits as its factorization.

101111012010101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101111012010101 its reverse (101010210111101), we get a palindrome (202121222121202).

The spelling of 101111012010101 in words is "one hundred one trillion, one hundred eleven billion, twelve million, ten thousand, one hundred one".