101018202001 has 2 divisors, whose sum is σ = 101018202002. Its totient is φ = 101018202000.

The previous prime is 101018201929. The next prime is 101018202007. The reversal of 101018202001 is 100202810101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96052885776 + 4965316225 = 309924^2 + 70465^2 .

It is a cyclic number.

It is not a de Polignac number, because 101018202001 - 2¹⁷ = 101018070929 is a prime.

It is not a weakly prime, because it can be changed into another prime (101018202007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50509101000 + 50509101001.

It is an arithmetic number, because the mean of its divisors is an integer number (50509101001).

Almost surely, 2^101018202001 is an apocalyptic number.

It is an amenable number.

101018202001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101018202001 is an equidigital number, since it uses as much as digits as its factorization.

101018202001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 16.

The spelling of 101018202001 in words is "one hundred one billion, eighteen million, two hundred two thousand, one".