100101121948057 has 2 divisors, whose sum is σ = 100101121948058. Its totient is φ = 100101121948056.

The previous prime is 100101121948043. The next prime is 100101121948081. The reversal of 100101121948057 is 750849121101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98730773104896 + 1370348843161 = 9936336^2 + 1170619^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101121948057 - 2⁷ = 100101121947929 is a prime.

It is not a weakly prime, because it can be changed into another prime (100104121948057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050560974028 + 50050560974029.

It is an arithmetic number, because the mean of its divisors is an integer number (50050560974029).

Almost surely, 2^{100101121948057} is an apocalyptic number.

It is an amenable number.

100101121948057 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101121948057 is an equidigital number, since it uses as much as digits as its factorization.

100101121948057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20160, while the sum is 40.

The spelling of 100101121948057 in words is "one hundred trillion, one hundred one billion, one hundred twenty-one million, nine hundred forty-eight thousand, fifty-seven".