10145412552101 has 8 divisors (see below), whose sum is σ = 10751145928344. Its totient is φ = 9540672998400.

The previous prime is 10145412552083. The next prime is 10145412552103. The reversal of 10145412552101 is 10125521454101.

It can be written as a sum of positive squares in 4 ways, for example, as 969063048100 + 9176349504001 = 984410^2 + 3029249^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10145412552101 - 2²² = 10145408357797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145412552103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248434610 + ... + 248475443.

It is an arithmetic number, because the mean of its divisors is an integer number (1343893241043).

Almost surely, 2^{10145412552101} is an apocalyptic number.

It is an amenable number.

10145412552101 is a deficient number, since it is larger than the sum of its proper divisors (605733376243).

10145412552101 is a wasteful number, since it uses less digits than its factorization.

10145412552101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496911271.

The product of its (nonzero) digits is 8000, while the sum is 32.

The spelling of 10145412552101 in words is "ten trillion, one hundred forty-five billion, four hundred twelve million, five hundred fifty-two thousand, one hundred one".