1006101006100 has 72 divisors (see below), whose sum is σ = 2205297273816. Its totient is φ = 398376000000.

The previous prime is 1006101006083. The next prime is 1006101006121. The reversal of 1006101006100 is 16001016001.

It can be written as a sum of positive squares in 12 ways, for example, as 7548481924 + 998552524176 = 86882^2 + 999276^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99995070 + ... + 100005130.

It is an arithmetic number, because the mean of its divisors is an integer number (30629128803).

Almost surely, 2^{1006101006100} is an apocalyptic number.

1006101006100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006101006100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102648636908).

1006101006100 is an abundant number, since it is smaller than the sum of its proper divisors (1199196267716).

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

1006101006100 is a wasteful number, since it uses less digits than its factorization.

1006101006100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20077 (or 20070 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Subtracting from 1006101006100 its reverse (16001016001), we obtain a palindrome (990099990099).

The spelling of 1006101006100 in words is "one trillion, six billion, one hundred one million, six thousand, one hundred".