1000010100006 has 12 divisors (see below), whose sum is σ = 2166688550052. Its totient is φ = 333336699996.

The previous prime is 1000010099987. The next prime is 1000010100007. The reversal of 1000010100006 is 6000010100001.

It is a super-2 number, since 2×1000010100006² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000010100007) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27778058316 + ... + 27778058351.

It is an arithmetic number, because the mean of its divisors is an integer number (180557379171).

Almost surely, 2^{1000010100006} is an apocalyptic number.

1000010100006 is an abundant number, since it is smaller than the sum of its proper divisors (1166678450046).

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

1000010100006 is a wasteful number, since it uses less digits than its factorization.

1000010100006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55556116675 (or 55556116672 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1000010100006 its reverse (6000010100001), we get a palindrome (7000020200007).

The spelling of 1000010100006 in words is "one trillion, ten million, one hundred thousand, six".