10106241255029 has 2 divisors, whose sum is σ = 10106241255030. Its totient is φ = 10106241255028.

The previous prime is 10106241254981. The next prime is 10106241255037. The reversal of 10106241255029 is 92055214260101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8804127480625 + 1302113774404 = 2967175^2 + 1141102^2 .

It is an emirp because it is prime and its reverse (92055214260101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10106241255029 - 2¹⁶ = 10106241189493 is a prime.

It is a super-2 number, since 2×10106241255029² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10106241254983 and 10106241255001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10106241255059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5053120627514 + 5053120627515.

It is an arithmetic number, because the mean of its divisors is an integer number (5053120627515).

Almost surely, 2^{10106241255029} is an apocalyptic number.

It is an amenable number.

10106241255029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10106241255029 is an equidigital number, since it uses as much as digits as its factorization.

10106241255029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43200, while the sum is 38.

The spelling of 10106241255029 in words is "ten trillion, one hundred six billion, two hundred forty-one million, two hundred fifty-five thousand, twenty-nine".