10600100601000 has 128 divisors (see below), whose sum is σ = 33614483535360. Its totient is φ = 2780354208000.

The previous prime is 10600100600993. The next prime is 10600100601019. The reversal of 10600100601000 is 10600100601.

It is a super-2 number, since 2×10600100601000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28779024 + ... + 29145023.

It is an arithmetic number, because the mean of its divisors is an integer number (262613152620).

Almost surely, 2^{10600100601000} is an apocalyptic number.

10600100601000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10600100601000 is an abundant number, since it is smaller than the sum of its proper divisors (23014382934360).

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

10600100601000 is a wasteful number, since it uses less digits than its factorization.

10600100601000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57924132 (or 57924118 counting only the distinct ones).

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

Adding to 10600100601000 its reverse (10600100601), we get a palindrome (10610700701601).

10600100601000 divided by its reverse (10600100601) gives a cube (1000 = 10³).

The spelling of 10600100601000 in words is "ten trillion, six hundred billion, one hundred million, six hundred one thousand".