100103202020201 has 2 divisors, whose sum is σ = 100103202020202. Its totient is φ = 100103202020200.

The previous prime is 100103202020183. The next prime is 100103202020243. The reversal of 100103202020201 is 102020202301001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100102046020201 + 1156000000 = 10005101^2 + 34000^2 .

It is a cyclic number.

It is not a de Polignac number, because 100103202020201 - 2¹⁴ = 100103202003817 is a prime.

It is a super-2 number, since 2×100103202020201² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100103202020281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051601010100 + 50051601010101.

It is an arithmetic number, because the mean of its divisors is an integer number (50051601010101).

Almost surely, 2^{100103202020201} is an apocalyptic number.

It is an amenable number.

100103202020201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100103202020201 is an equidigital number, since it uses as much as digits as its factorization.

100103202020201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100103202020201 its reverse (102020202301001), we get a palindrome (202123404321202).

The spelling of 100103202020201 in words is "one hundred trillion, one hundred three billion, two hundred two million, twenty thousand, two hundred one".