100191900101 has 2 divisors, whose sum is σ = 100191900102. Its totient is φ = 100191900100.

The previous prime is 100191900097. The next prime is 100191900113. The reversal of 100191900101 is 101009191001.

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., 69479688100 + 30712212001 = 263590^2 + 175249^2 .

It is a cyclic number.

It is not a de Polignac number, because 100191900101 - 2² = 100191900097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100191900301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50095950050 + 50095950051.

It is an arithmetic number, because the mean of its divisors is an integer number (50095950051).

Almost surely, 2^100191900101 is an apocalyptic number.

It is an amenable number.

100191900101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100191900101 is an equidigital number, since it uses as much as digits as its factorization.

100191900101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 23.

The spelling of 100191900101 in words is "one hundred billion, one hundred ninety-one million, nine hundred thousand, one hundred one".