100101009969929 has 2 divisors, whose sum is σ = 100101009969930. Its totient is φ = 100101009969928.

The previous prime is 100101009969899. The next prime is 100101009969937. The reversal of 100101009969929 is 929969900101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100001500005625 + 99509964304 = 10000075^2 + 315452^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101009969929 - 2¹² = 100101009965833 is a prime.

It is not a weakly prime, because it can be changed into another prime (100107009969929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050504984964 + 50050504984965.

It is an arithmetic number, because the mean of its divisors is an integer number (50050504984965).

Almost surely, 2^{100101009969929} is an apocalyptic number.

It is an amenable number.

100101009969929 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101009969929 is an equidigital number, since it uses as much as digits as its factorization.

100101009969929 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 708588, while the sum is 56.

The spelling of 100101009969929 in words is "one hundred trillion, one hundred one billion, nine million, nine hundred sixty-nine thousand, nine hundred twenty-nine".