1006101011052 has 18 divisors (see below), whose sum is σ = 2543199778028. Its totient is φ = 335367003672.

The previous prime is 1006101010997. The next prime is 1006101011059. The reversal of 1006101011052 is 2501101016001.

It is a happy number.

1006101011052 is a `hidden beast` number, since 1 + 0 + 0 + 610 + 1 + 0 + 1 + 1 + 0 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1006101011052² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1006101011059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13973625118 + ... + 13973625189.

Almost surely, 2^{1006101011052} is an apocalyptic number.

1006101011052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1006101011052 is an abundant number, since it is smaller than the sum of its proper divisors (1537098766976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1006101011052 is a wasteful number, since it uses less digits than its factorization.

1006101011052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27947250317 (or 27947250312 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

Adding to 1006101011052 its reverse (2501101016001), we get a palindrome (3507202027053).

The spelling of 1006101011052 in words is "one trillion, six billion, one hundred one million, eleven thousand, fifty-two".