110011001012100 has 216 divisors, whose sum is σ = 345241694757960. Its totient is φ = 29300692992000.

The previous prime is 110011001012083. The next prime is 110011001012147. The reversal of 110011001012100 is 1210100110011.

It can be written as a sum of positive squares in 12 ways, for example, as 24763302923076 + 85247698089024 = 4976274^2 + 9232968^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4095552670 + ... + 4095579530.

It is an arithmetic number, because the mean of its divisors is an integer number (1598341179435).

Almost surely, 2^{110011001012100} is an apocalyptic number.

110011001012100 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 110011001012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172620847378980).

110011001012100 is an abundant number, since it is smaller than the sum of its proper divisors (235230693745860).

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

110011001012100 is a wasteful number, since it uses less digits than its factorization.

110011001012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32231 (or 32221 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110011001012100 its reverse (1210100110011), we get a palindrome (111221101122111).

The spelling of 110011001012100 in words is "one hundred ten trillion, eleven billion, one million, twelve thousand, one hundred".