1006100601000 has 768 divisors, whose sum is σ = 3542231347200. Its totient is φ = 237504960000.

The previous prime is 1006100600983. The next prime is 1006100601001. The reversal of 1006100601000 is 1060016001.

It is a super-2 number, since 2×1006100601000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1006100601001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2654618811 + ... + 2654619189.

It is an arithmetic number, because the mean of its divisors is an integer number (4612280400).

Almost surely, 2^{1006100601000} is an apocalyptic number.

1006100601000 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 1006100601000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771115673600).

1006100601000 is an abundant number, since it is smaller than the sum of its proper divisors (2536130746200).

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

1006100601000 is a wasteful number, since it uses less digits than its factorization.

1006100601000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1006100601000 its reverse (1060016001), we get a palindrome (1007160617001).

The spelling of 1006100601000 in words is "one trillion, six billion, one hundred million, six hundred one thousand".