10001111000100 has 288 divisors, whose sum is σ = 32478117267456. Its totient is φ = 2354778201600.

The previous prime is 10001111000053. The next prime is 10001111000113. The reversal of 10001111000100 is 100011110001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68669557 + ... + 68815043.

It is an arithmetic number, because the mean of its divisors is an integer number (112771240512).

Almost surely, 2^{10001111000100} is an apocalyptic number.

10001111000100 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 10001111000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16239058633728).

10001111000100 is an abundant number, since it is smaller than the sum of its proper divisors (22477006267356).

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

10001111000100 is a wasteful number, since it uses less digits than its factorization.

10001111000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146115 (or 146108 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10001111000100 its reverse (100011110001), we get a palindrome (10101122110101).

10001111000100 divided by its reverse (100011110001) gives a square (100 = 10²).

It can be divided in two parts, 100011 and 11000100, that added together give a palindrome (11100111).

The spelling of 10001111000100 in words is "ten trillion, one billion, one hundred eleven million, one hundred", and thus it is an aban number.