10221200200153 has 2 divisors, whose sum is σ = 10221200200154. Its totient is φ = 10221200200152.

The previous prime is 10221200200117. The next prime is 10221200200157. The reversal of 10221200200153 is 35100200212201.

10221200200153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9511500101184 + 709700098969 = 3084072^2 + 842437^2 .

It is an emirp because it is prime and its reverse (35100200212201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10221200200153 - 2⁹ = 10221200199641 is a prime.

It is a super-2 number, since 2×10221200200153² (a number of 27 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 10221200200153.

It is not a weakly prime, because it can be changed into another prime (10221200200157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110600100076 + 5110600100077.

It is an arithmetic number, because the mean of its divisors is an integer number (5110600100077).

Almost surely, 2^{10221200200153} is an apocalyptic number.

It is an amenable number.

10221200200153 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221200200153 is an equidigital number, since it uses as much as digits as its factorization.

10221200200153 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 19.

Adding to 10221200200153 its reverse (35100200212201), we get a palindrome (45321400412354).

The spelling of 10221200200153 in words is "ten trillion, two hundred twenty-one billion, two hundred million, two hundred thousand, one hundred fifty-three".