100101202202153 has 2 divisors, whose sum is σ = 100101202202154. Its totient is φ = 100101202202152.

The previous prime is 100101202202093. The next prime is 100101202202159. The reversal of 100101202202153 is 351202202101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64255021541929 + 35846180660224 = 8015923^2 + 5987168^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101202202153 - 2¹⁰ = 100101202201129 is a prime.

It is not a weakly prime, because it can be changed into another prime (100101202202159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050601101076 + 50050601101077.

It is an arithmetic number, because the mean of its divisors is an integer number (50050601101077).

Almost surely, 2^{100101202202153} is an apocalyptic number.

It is an amenable number.

100101202202153 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101202202153 is an equidigital number, since it uses as much as digits as its factorization.

100101202202153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 100101202202153 its reverse (351202202101001), we get a palindrome (451303404303154).

The spelling of 100101202202153 in words is "one hundred trillion, one hundred one billion, two hundred two million, two hundred two thousand, one hundred fifty-three".