101001111200113 has 2 divisors, whose sum is σ = 101001111200114. Its totient is φ = 101001111200112.

The previous prime is 101001111200107. The next prime is 101001111200123. The reversal of 101001111200113 is 311002111100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82306409554944 + 18694701645169 = 9072288^2 + 4323737^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001111200113 - 2¹⁷ = 101001111069041 is a prime.

It is a super-2 number, since 2×101001111200113² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101001111200093 and 101001111200102.

It is not a weakly prime, because it can be changed into another prime (101001111200123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500555600056 + 50500555600057.

It is an arithmetic number, because the mean of its divisors is an integer number (50500555600057).

Almost surely, 2^{101001111200113} is an apocalyptic number.

It is an amenable number.

101001111200113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001111200113 is an equidigital number, since it uses as much as digits as its factorization.

101001111200113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 101001111200113 its reverse (311002111100101), we get a palindrome (412003222300214).

The spelling of 101001111200113 in words is "one hundred one trillion, one billion, one hundred eleven million, two hundred thousand, one hundred thirteen".