10100540314125 has 48 divisors (see below), whose sum is σ = 18631347134400. Its totient is φ = 5261676789600.

The previous prime is 10100540314099. The next prime is 10100540314147. The reversal of 10100540314125 is 52141304500101.

10100540314125 is a `hidden beast` number, since 1 + 0 + 100 + 540 + 3 + 1 + 4 + 12 + 5 = 666.

10100540314125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10100540314125 - 2¹⁵ = 10100540281357 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104349975 + ... + 104446724.

It is an arithmetic number, because the mean of its divisors is an integer number (388153065300).

Almost surely, 2^{10100540314125} is an apocalyptic number.

10100540314125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10100540314125 is a deficient number, since it is larger than the sum of its proper divisors (8530806820275).

10100540314125 is a wasteful number, since it uses less digits than its factorization.

10100540314125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208796763 (or 208796750 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 10100540314125 its reverse (52141304500101), we get a palindrome (62241844814226).

The spelling of 10100540314125 in words is "ten trillion, one hundred billion, five hundred forty million, three hundred fourteen thousand, one hundred twenty-five".