1010106633125 has 20 divisors (see below), whose sum is σ = 1268769448188. Its totient is φ = 803898240000.

The previous prime is 1010106633091. The next prime is 1010106633157. The reversal of 1010106633125 is 5213366010101.

1010106633125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 866846654116 + 143259979009 = 931046^2 + 378497^2 .

It is not a de Polignac number, because 1010106633125 - 2³² = 1005811665829 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4066346 + ... + 4307595.

Almost surely, 2^{1010106633125} is an apocalyptic number.

It is an amenable number.

1010106633125 is a deficient number, since it is larger than the sum of its proper divisors (258662815063).

1010106633125 is an frugal number, since it uses more digits than its factorization.

1010106633125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8374154 (or 8374139 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The spelling of 1010106633125 in words is "one trillion, ten billion, one hundred six million, six hundred thirty-three thousand, one hundred twenty-five".