10100220210001 has 2 divisors, whose sum is σ = 10100220210002. Its totient is φ = 10100220210000.

The previous prime is 10100220209987. The next prime is 10100220210037. The reversal of 10100220210001 is 10001202200101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10086372569025 + 13847640976 = 3175905^2 + 117676^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100220210001 - 2¹¹ = 10100220207953 is a prime.

It is a super-3 number, since 3×10100220210001³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10100220210001.

It is not a weakly prime, because it can be changed into another prime (10100220210701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050110105000 + 5050110105001.

It is an arithmetic number, because the mean of its divisors is an integer number (5050110105001).

Almost surely, 2^{10100220210001} is an apocalyptic number.

It is an amenable number.

10100220210001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100220210001 is an equidigital number, since it uses as much as digits as its factorization.

10100220210001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10100220210001 its reverse (10001202200101), we get a palindrome (20101422410102).

The spelling of 10100220210001 in words is "ten trillion, one hundred billion, two hundred twenty million, two hundred ten thousand, one".