101113000210109 has 2 divisors, whose sum is σ = 101113000210110. Its totient is φ = 101113000210108.

The previous prime is 101113000210093. The next prime is 101113000210217. The reversal of 101113000210109 is 901012000311101.

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., 100781581234009 + 331418976100 = 10039003^2 + 575690^2 .

It is a cyclic number.

It is not a de Polignac number, because 101113000210109 - 2⁴ = 101113000210093 is a prime.

It is a super-2 number, since 2×101113000210109² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101113000215109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556500105054 + 50556500105055.

It is an arithmetic number, because the mean of its divisors is an integer number (50556500105055).

Almost surely, 2^{101113000210109} is an apocalyptic number.

It is an amenable number.

101113000210109 is a deficient number, since it is larger than the sum of its proper divisors (1).

101113000210109 is an equidigital number, since it uses as much as digits as its factorization.

101113000210109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 20.

The spelling of 101113000210109 in words is "one hundred one trillion, one hundred thirteen billion, two hundred ten thousand, one hundred nine".