2000100220201 has 2 divisors, whose sum is σ = 2000100220202. Its totient is φ = 2000100220200.

The previous prime is 2000100220147. The next prime is 2000100220249. The reversal of 2000100220201 is 1020220010002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1847003312025 + 153096908176 = 1359045^2 + 391276^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000100220201 - 2⁷ = 2000100220073 is a prime.

It is a super-4 number, since 4×2000100220201⁴ (a number of 50 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (2000100220271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000050110100 + 1000050110101.

It is an arithmetic number, because the mean of its divisors is an integer number (1000050110101).

Almost surely, 2^{2000100220201} is an apocalyptic number.

It is an amenable number.

2000100220201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000100220201 is an equidigital number, since it uses as much as digits as its factorization.

2000100220201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2000100220201 its reverse (1020220010002), we get a palindrome (3020320230203).

The spelling of 2000100220201 in words is "two trillion, one hundred million, two hundred twenty thousand, two hundred one".