101202111132113 has 16 divisors (see below), whose sum is σ = 103532911851600. Its totient is φ = 98896894894080.

The previous prime is 101202111132103. The next prime is 101202111132169. The reversal of 101202111132113 is 311231111202101.

It can be written as a sum of positive squares in 8 ways, for example, as 5380859630224 + 95821251501889 = 2319668^2 + 9788833^2 .

It is a cyclic number.

It is not a de Polignac number, because 101202111132113 - 2²⁰ = 101202110083537 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101202111132103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273289103 + ... + 273659163.

It is an arithmetic number, because the mean of its divisors is an integer number (6470806990725).

Almost surely, 2^{101202111132113} is an apocalyptic number.

It is an amenable number.

101202111132113 is a deficient number, since it is larger than the sum of its proper divisors (2330800719487).

101202111132113 is a wasteful number, since it uses less digits than its factorization.

101202111132113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404612.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 101202111132113 its reverse (311231111202101), we get a palindrome (412433222334214).

The spelling of 101202111132113 in words is "one hundred one trillion, two hundred two billion, one hundred eleven million, one hundred thirty-two thousand, one hundred thirteen".