100212112210109 has 2 divisors, whose sum is σ = 100212112210110. Its totient is φ = 100212112210108.

The previous prime is 100212112210081. The next prime is 100212112210183. The reversal of 100212112210109 is 901012211212001.

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., 98389477207609 + 1822635002500 = 9919147^2 + 1350050^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100212112210109 is a prime.

It is a super-2 number, since 2×100212112210109² (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 (100212112210009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106056105054 + 50106056105055.

It is an arithmetic number, because the mean of its divisors is an integer number (50106056105055).

Almost surely, 2^{100212112210109} is an apocalyptic number.

It is an amenable number.

100212112210109 is a deficient number, since it is larger than the sum of its proper divisors (1).

100212112210109 is an equidigital number, since it uses as much as digits as its factorization.

100212112210109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 100212112210109 in words is "one hundred trillion, two hundred twelve billion, one hundred twelve million, two hundred ten thousand, one hundred nine".