100010220101201 has 2 divisors, whose sum is σ = 100010220101202. Its totient is φ = 100010220101200.

The previous prime is 100010220101119. The next prime is 100010220101263. The reversal of 100010220101201 is 102101022010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81236890948801 + 18773329152400 = 9013151^2 + 4332820^2 .

It is a cyclic number.

It is not a de Polignac number, because 100010220101201 - 2³⁴ = 99993040232017 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100010220101101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005110050600 + 50005110050601.

It is an arithmetic number, because the mean of its divisors is an integer number (50005110050601).

Almost surely, 2^{100010220101201} is an apocalyptic number.

It is an amenable number.

100010220101201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010220101201 is an equidigital number, since it uses as much as digits as its factorization.

100010220101201 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 11.

Adding to 100010220101201 its reverse (102101022010001), we get a palindrome (202111242111202).

It can be divided in two parts, 1000 and 10220101201, that added together give a palindrome (10220102201).

The spelling of 100010220101201 in words is "one hundred trillion, ten billion, two hundred twenty million, one hundred one thousand, two hundred one".