10011111010100 has 72 divisors (see below), whose sum is σ = 21865649493240. Its totient is φ = 3978388180480.

The previous prime is 10011111010081. The next prime is 10011111010169. The reversal of 10011111010100 is 101011111001.

It can be written as a sum of positive squares in 12 ways, for example, as 76372638736 + 9934738371364 = 276356^2 + 3151942^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23542166 + ... + 23963634.

It is an arithmetic number, because the mean of its divisors is an integer number (303689576295).

Almost surely, 2^{10011111010100} is an apocalyptic number.

10011111010100 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 10011111010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10932824746620).

10011111010100 is an abundant number, since it is smaller than the sum of its proper divisors (11854538483140).

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

10011111010100 is a wasteful number, since it uses less digits than its factorization.

10011111010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423029 (or 423022 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10011111010100 its reverse (101011111001), we get a palindrome (10112122121101).

It can be divided in two parts, 10011 and 111010100, that added together give a palindrome (111020111).

The spelling of 10011111010100 in words is "ten trillion, eleven billion, one hundred eleven million, ten thousand, one hundred".