10010001101100 has 1152 divisors, whose sum is σ = 40189673029632. Its totient is φ = 1856311603200.

The previous prime is 10010001101081. The next prime is 10010001101131. The reversal of 10010001101100 is 110110001001.

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.

10010001101100 is a modest number, since divided by 1101100 gives 100100 as remainder.

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 383 ways as a sum of consecutive naturals, for example, 1811106537 + ... + 1811112063.

Almost surely, 2^{10010001101100} is an apocalyptic number.

10010001101100 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 10010001101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20094836514816).

10010001101100 is an abundant number, since it is smaller than the sum of its proper divisors (30179671928532).

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

10010001101100 is a wasteful number, since it uses less digits than its factorization.

10010001101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5775 (or 5768 counting only the distinct ones).

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

Adding to 10010001101100 its reverse (110110001001), we get a palindrome (10120111102101).

It can be divided in two parts, 10010001 and 101100, that added together give a palindrome (10111101).

The spelling of 10010001101100 in words is "ten trillion, ten billion, one million, one hundred one thousand, one hundred".