10100222220001 has 2 divisors, whose sum is σ = 10100222220002. Its totient is φ = 10100222220000.

The previous prime is 10100222219953. The next prime is 10100222220017. The reversal of 10100222220001 is 10002222200101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7951582221025 + 2148639998976 = 2819855^2 + 1465824^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100222220001 is a prime.

It is a super-5 number, since 5×10100222220001⁵ (a number of 66 digits) contains 55555 as substring.

It is not a weakly prime, because it can be changed into another prime (10100222220901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050111110000 + 5050111110001.

It is an arithmetic number, because the mean of its divisors is an integer number (5050111110001).

Almost surely, 2^{10100222220001} is an apocalyptic number.

It is an amenable number.

10100222220001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100222220001 is an equidigital number, since it uses as much as digits as its factorization.

10100222220001 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 13.

Adding to 10100222220001 its reverse (10002222200101), we get a palindrome (20102444420102).

The spelling of 10100222220001 in words is "ten trillion, one hundred billion, two hundred twenty-two million, two hundred twenty thousand, one".