101122100012201 has 2 divisors, whose sum is σ = 101122100012202. Its totient is φ = 101122100012200.

The previous prime is 101122100012189. The next prime is 101122100012209. The reversal of 101122100012201 is 102210001221101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67156795755625 + 33965304256576 = 8194925^2 + 5827976^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101122100012201 is a prime.

It is a super-2 number, since 2×101122100012201² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101122100012209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561050006100 + 50561050006101.

It is an arithmetic number, because the mean of its divisors is an integer number (50561050006101).

Almost surely, 2^{101122100012201} is an apocalyptic number.

It is an amenable number.

101122100012201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122100012201 is an equidigital number, since it uses as much as digits as its factorization.

101122100012201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101122100012201 its reverse (102210001221101), we get a palindrome (203332101233302).

It can be divided in two parts, 10 and 1122100012201, that added together give a palindrome (1122100012211).

The spelling of 101122100012201 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred million, twelve thousand, two hundred one".