100091919101 has 2 divisors, whose sum is σ = 100091919102. Its totient is φ = 100091919100.

The previous prime is 100091919097. The next prime is 100091919149. The reversal of 100091919101 is 101919190001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72764523001 + 27327396100 = 269749^2 + 165310^2 .It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 101616160001 and 100061616101.

It is a cyclic number.

It is not a de Polignac number, because 100091919101 - 2² = 100091919097 is a prime.

It is a super-2 number, since 2×100091919101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100091919001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50045959550 + 50045959551.

It is an arithmetic number, because the mean of its divisors is an integer number (50045959551).

Almost surely, 2^100091919101 is an apocalyptic number.

It is an amenable number.

100091919101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100091919101 is an equidigital number, since it uses as much as digits as its factorization.

100091919101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 32.

The spelling of 100091919101 in words is "one hundred billion, ninety-one million, nine hundred nineteen thousand, one hundred one".