10011001100100 has 1296 divisors, whose sum is σ = 40882122501696. Its totient is φ = 1868106240000.

The previous prime is 10011001100059. The next prime is 10011001100161. The reversal of 10011001100100 is 100110011001.

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 431 ways as a sum of consecutive naturals, for example, 1011105150 + ... + 1011115050.

Almost surely, 2^{10011001100100} is an apocalyptic number.

10011001100100 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 10011001100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20441061250848).

10011001100100 is an abundant number, since it is smaller than the sum of its proper divisors (30871121401596).

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

10011001100100 is a wasteful number, since it uses less digits than its factorization.

10011001100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10006 (or 9979 counting only the distinct ones).

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

Adding to 10011001100100 its reverse (100110011001), we get a palindrome (10111111111101).

10011001100100 divided by its reverse (100110011001) gives a square (100 = 10²).

It can be divided in two parts, 10011001 and 100100, that added together give a palindrome (10111101).

The spelling of 10011001100100 in words is "ten trillion, eleven billion, one million, one hundred thousand, one hundred".