100101222101053 has 2 divisors, whose sum is σ = 100101222101054. Its totient is φ = 100101222101052.

The previous prime is 100101222101039. The next prime is 100101222101141. The reversal of 100101222101053 is 350101222101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84512480866489 + 15588741234564 = 9193067^2 + 3948258^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101222101053 - 2²⁵ = 100101188546621 is a prime.

It is a super-2 number, since 2×100101222101053² (a number of 29 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 100101222101053.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101222108053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050611050526 + 50050611050527.

It is an arithmetic number, because the mean of its divisors is an integer number (50050611050527).

Almost surely, 2^{100101222101053} is an apocalyptic number.

It is an amenable number.

100101222101053 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101222101053 is an equidigital number, since it uses as much as digits as its factorization.

100101222101053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 100101222101053 its reverse (350101222101001), we get a palindrome (450202444202054).

The spelling of 100101222101053 in words is "one hundred trillion, one hundred one billion, two hundred twenty-two million, one hundred one thousand, fifty-three".