1010500106009 has 16 divisors (see below), whose sum is σ = 1039194670080. Its totient is φ = 981999936000.

The previous prime is 1010500105963. The next prime is 1010500106027. The reversal of 1010500106009 is 9006010050101.

It is a de Polignac number, because none of the positive numbers 2^k-1010500106009 is a prime.

It is a super-2 number, since 2×1010500106009² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1010500106089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77670497 + ... + 77683505.

It is an arithmetic number, because the mean of its divisors is an integer number (64949666880).

Almost surely, 2^{1010500106009} is an apocalyptic number.

It is an amenable number.

1010500106009 is a deficient number, since it is larger than the sum of its proper divisors (28694564071).

1010500106009 is a wasteful number, since it uses less digits than its factorization.

1010500106009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20312.

The product of its (nonzero) digits is 270, while the sum is 23.

The spelling of 1010500106009 in words is "one trillion, ten billion, five hundred million, one hundred six thousand, nine".