100211111202031 has 2 divisors, whose sum is σ = 100211111202032. Its totient is φ = 100211111202030.

The previous prime is 100211111202023. The next prime is 100211111202047. The reversal of 100211111202031 is 130202111112001.

It is a happy number.

It is an a-pointer prime, because the next prime (100211111202047) can be obtained adding 100211111202031 to its sum of digits (16).

It is a weak prime.

It is an emirp because it is prime and its reverse (130202111112001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100211111202031 - 2³ = 100211111202023 is a prime.

It is a super-2 number, since 2×100211111202031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100211111201996 and 100211111202014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100211111202001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105555601015 + 50105555601016.

It is an arithmetic number, because the mean of its divisors is an integer number (50105555601016).

Almost surely, 2^{100211111202031} is an apocalyptic number.

100211111202031 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211111202031 is an equidigital number, since it uses as much as digits as its factorization.

100211111202031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 100211111202031 its reverse (130202111112001), we get a palindrome (230413222314032).

The spelling of 100211111202031 in words is "one hundred trillion, two hundred eleven billion, one hundred eleven million, two hundred two thousand, thirty-one".