100034440001 has 2 divisors, whose sum is σ = 100034440002. Its totient is φ = 100034440000.

The previous prime is 100034439983. The next prime is 100034440019. The reversal of 100034440001 is 100044430001.

It is a balanced prime because it is at equal distance from previous prime (100034439983) and next prime (100034440019).

It can be written as a sum of positive squares in only one way, i.e., 85825561600 + 14208878401 = 292960^2 + 119201^2 .

It is a cyclic number.

It is not a de Polignac number, because 100034440001 - 2¹⁴ = 100034423617 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100034440091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50017220000 + 50017220001.

It is an arithmetic number, because the mean of its divisors is an integer number (50017220001).

Almost surely, 2^100034440001 is an apocalyptic number.

It is an amenable number.

100034440001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100034440001 is an equidigital number, since it uses as much as digits as its factorization.

100034440001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 100034440001 its reverse (100044430001), we get a palindrome (200078870002).

The spelling of 100034440001 in words is "one hundred billion, thirty-four million, four hundred forty thousand, one".