10314644506101 has 24 divisors (see below), whose sum is σ = 16186993758936. Its totient is φ = 6291301201920.

The previous prime is 10314644506093. The next prime is 10314644506121. The reversal of 10314644506101 is 10160544641301.

10314644506101 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 4 + 6 + 44 + 506 + 101 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3513407076 + 10311131099025 = 59274^2 + 3211095^2 .

It is not a de Polignac number, because 10314644506101 - 2³ = 10314644506093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10314644506121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390072420 + ... + 390098861.

It is an arithmetic number, because the mean of its divisors is an integer number (674458073289).

Almost surely, 2^{10314644506101} is an apocalyptic number.

It is an amenable number.

10314644506101 is a deficient number, since it is larger than the sum of its proper divisors (5872349252835).

10314644506101 is a wasteful number, since it uses less digits than its factorization.

10314644506101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780171413 (or 780171410 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10314644506101 in words is "ten trillion, three hundred fourteen billion, six hundred forty-four million, five hundred six thousand, one hundred one".