100100929001 has 2 divisors, whose sum is σ = 100100929002. Its totient is φ = 100100929000.

The previous prime is 100100928979. The next prime is 100100929013. The reversal of 100100929001 is 100929001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100093773376 + 7155625 = 316376^2 + 2675^2 .

It is an emirp because it is prime and its reverse (100929001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100100929001 - 2³⁰ = 99027187177 is a prime.

It is not a weakly prime, because it can be changed into another prime (100100929501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050464500 + 50050464501.

It is an arithmetic number, because the mean of its divisors is an integer number (50050464501).

Almost surely, 2^100100929001 is an apocalyptic number.

It is an amenable number.

100100929001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100929001 is an equidigital number, since it uses as much as digits as its factorization.

100100929001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 23.

The spelling of 100100929001 in words is "one hundred billion, one hundred million, nine hundred twenty-nine thousand, one".