2000918202001 has 2 divisors, whose sum is σ = 2000918202002. Its totient is φ = 2000918202000.

The previous prime is 2000918201987. The next prime is 2000918202013. The reversal of 2000918202001 is 1002028190002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1940237269776 + 60680932225 = 1392924^2 + 246335^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000918202001 - 2¹³ = 2000918193809 is a prime.

It is not a weakly prime, because it can be changed into another prime (2000918202301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000459101000 + 1000459101001.

It is an arithmetic number, because the mean of its divisors is an integer number (1000459101001).

Almost surely, 2^{2000918202001} is an apocalyptic number.

It is an amenable number.

2000918202001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000918202001 is an equidigital number, since it uses as much as digits as its factorization.

2000918202001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 2000918202001 in words is "two trillion, nine hundred eighteen million, two hundred two thousand, one".