100011102022031 has 2 divisors, whose sum is σ = 100011102022032. Its totient is φ = 100011102022030.

The previous prime is 100011102021997. The next prime is 100011102022033. The reversal of 100011102022031 is 130220201110001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100011102022031 is a prime.

It is a super-2 number, since 2×100011102022031² (a number of 29 digits) contains 22 as substring.

Together with 100011102022033, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100011102021997 and 100011102022015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100011102022033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005551011015 + 50005551011016.

It is an arithmetic number, because the mean of its divisors is an integer number (50005551011016).

Almost surely, 2^{100011102022031} is an apocalyptic number.

100011102022031 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011102022031 is an equidigital number, since it uses as much as digits as its factorization.

100011102022031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100011102022031 its reverse (130220201110001), we get a palindrome (230231303132032).

The spelling of 100011102022031 in words is "one hundred trillion, eleven billion, one hundred two million, twenty-two thousand, thirty-one".