10122000121153 has 2 divisors, whose sum is σ = 10122000121154. Its totient is φ = 10122000121152.

The previous prime is 10122000121099. The next prime is 10122000121199. The reversal of 10122000121153 is 35112100022101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9760981802049 + 361018319104 = 3124257^2 + 600848^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10122000121153 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10122000121153.

It is not a weakly prime, because it can be changed into another prime (10122000101153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061000060576 + 5061000060577.

It is an arithmetic number, because the mean of its divisors is an integer number (5061000060577).

Almost surely, 2^{10122000121153} is an apocalyptic number.

It is an amenable number.

10122000121153 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122000121153 is an equidigital number, since it uses as much as digits as its factorization.

10122000121153 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10122000121153 its reverse (35112100022101), we get a palindrome (45234100143254).

The spelling of 10122000121153 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-one thousand, one hundred fifty-three".