100222210012153 has 2 divisors, whose sum is σ = 100222210012154. Its totient is φ = 100222210012152.

The previous prime is 100222210012081. The next prime is 100222210012217. The reversal of 100222210012153 is 351210012222001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79728951817449 + 20493258194704 = 8929107^2 + 4526948^2 .

It is an emirp because it is prime and its reverse (351210012222001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100222210012153 is a prime.

It is not a weakly prime, because it can be changed into another prime (100222210016153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50111105006076 + 50111105006077.

It is an arithmetic number, because the mean of its divisors is an integer number (50111105006077).

Almost surely, 2^{100222210012153} is an apocalyptic number.

It is an amenable number.

100222210012153 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222210012153 is an equidigital number, since it uses as much as digits as its factorization.

100222210012153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 100222210012153 its reverse (351210012222001), we get a palindrome (451432222234154).

The spelling of 100222210012153 in words is "one hundred trillion, two hundred twenty-two billion, two hundred ten million, twelve thousand, one hundred fifty-three".