10111200202153 has 2 divisors, whose sum is σ = 10111200202154. Its totient is φ = 10111200202152.

The previous prime is 10111200202087. The next prime is 10111200202219. The reversal of 10111200202153 is 35120200211101.

10111200202153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10111200202087) and next prime (10111200202219).

It can be written as a sum of positive squares in only one way, i.e., 7972197426064 + 2139002776089 = 2823508^2 + 1462533^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111200202153 - 2¹⁷ = 10111200071081 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10111200202153.

It is not a weakly prime, because it can be changed into another prime (10111200202253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055600101076 + 5055600101077.

It is an arithmetic number, because the mean of its divisors is an integer number (5055600101077).

Almost surely, 2^{10111200202153} is an apocalyptic number.

It is an amenable number.

10111200202153 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111200202153 is an equidigital number, since it uses as much as digits as its factorization.

10111200202153 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 10111200202153 its reverse (35120200211101), we get a palindrome (45231400413254).

The spelling of 10111200202153 in words is "ten trillion, one hundred eleven billion, two hundred million, two hundred two thousand, one hundred fifty-three".