110001101021100 has 216 divisors, whose sum is σ = 354136975883600. Its totient is φ = 28538736791040.

The previous prime is 110001101021099. The next prime is 110001101021101. The reversal of 110001101021100 is 1120101100011.

It is an interprime number because it is at equal distance from previous prime (110001101021099) and next prime (110001101021101).

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

It is not an unprimeable number, because it can be changed into a prime (110001101021101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 483835251 + ... + 484062549.

Almost surely, 2^{110001101021100} is an apocalyptic number.

110001101021100 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 110001101021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177068487941800).

110001101021100 is an abundant number, since it is smaller than the sum of its proper divisors (244135874862500).

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

110001101021100 is a wasteful number, since it uses less digits than its factorization.

110001101021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241889 (or 241879 counting only the distinct ones).

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

Adding to 110001101021100 its reverse (1120101100011), we get a palindrome (111121202121111).

It can be divided in two parts, 110001 and 101021100, that added together give a palindrome (101131101).

The spelling of 110001101021100 in words is "one hundred ten trillion, one billion, one hundred one million, twenty-one thousand, one hundred".