1000006001100 has 360 divisors, whose sum is σ = 3353421367296. Its totient is φ = 257508720000.

The previous prime is 1000006001063. The next prime is 1000006001119. The reversal of 1000006001100 is 11006000001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 123286045 + ... + 123294155.

Almost surely, 2^{1000006001100} is an apocalyptic number.

1000006001100 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 1000006001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676710683648).

1000006001100 is an abundant number, since it is smaller than the sum of its proper divisors (2353415366196).

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

1000006001100 is a wasteful number, since it uses less digits than its factorization.

1000006001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8659 (or 8643 counting only the distinct ones).

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

The spelling of 1000006001100 in words is "one trillion, six million, one thousand, one hundred".