100211220001 has 2 divisors, whose sum is σ = 100211220002. Its totient is φ = 100211220000.

The previous prime is 100211219989. The next prime is 100211220007. The reversal of 100211220001 is 100022112001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55764461025 + 44446758976 = 236145^2 + 210824^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100211220001 is a prime.

It is a super-2 number, since 2×100211220001² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100211220001.

It is not a weakly prime, because it can be changed into another prime (100211220007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105610000 + 50105610001.

It is an arithmetic number, because the mean of its divisors is an integer number (50105610001).

Almost surely, 2^100211220001 is an apocalyptic number.

It is an amenable number.

100211220001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211220001 is an equidigital number, since it uses as much as digits as its factorization.

100211220001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 100211220001 its reverse (100022112001), we get a palindrome (200233332002).

The spelling of 100211220001 in words is "one hundred billion, two hundred eleven million, two hundred twenty thousand, one".