10225213012129 has 2 divisors, whose sum is σ = 10225213012130. Its totient is φ = 10225213012128.

The previous prime is 10225213012111. The next prime is 10225213012181. The reversal of 10225213012129 is 92121031252201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9861314514529 + 363898497600 = 3140273^2 + 603240^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10225213012129 is a prime.

It is a super-2 number, since 2×10225213012129² (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 10225213012129.

It is not a weakly prime, because it can be changed into another prime (10225213012109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5112606506064 + 5112606506065.

It is an arithmetic number, because the mean of its divisors is an integer number (5112606506065).

Almost surely, 2^{10225213012129} is an apocalyptic number.

It is an amenable number.

10225213012129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10225213012129 is an equidigital number, since it uses as much as digits as its factorization.

10225213012129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4320, while the sum is 31.

The spelling of 10225213012129 in words is "ten trillion, two hundred twenty-five billion, two hundred thirteen million, twelve thousand, one hundred twenty-nine".