101202112111109 has 2 divisors, whose sum is σ = 101202112111110. Its totient is φ = 101202112111108.

The previous prime is 101202112111073. The next prime is 101202112111169. The reversal of 101202112111109 is 901111211202101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52296356750884 + 48905755360225 = 7231622^2 + 6993265^2 .

It is an emirp because it is prime and its reverse (901111211202101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101202112111109 is a prime.

It is a super-2 number, since 2×101202112111109² (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 (101202112111169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50601056055554 + 50601056055555.

It is an arithmetic number, because the mean of its divisors is an integer number (50601056055555).

Almost surely, 2^{101202112111109} is an apocalyptic number.

It is an amenable number.

101202112111109 is a deficient number, since it is larger than the sum of its proper divisors (1).

101202112111109 is an equidigital number, since it uses as much as digits as its factorization.

101202112111109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 23.

The spelling of 101202112111109 in words is "one hundred one trillion, two hundred two billion, one hundred twelve million, one hundred eleven thousand, one hundred nine".