110100100001100 has 288 divisors, whose sum is σ = 349864762555392. Its totient is φ = 26510664960000.

The previous prime is 110100100001071. The next prime is 110100100001161. The reversal of 110100100001100 is 1100001001011.

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 95 ways as a sum of consecutive naturals, for example, 1383805320 + ... + 1383884880.

Almost surely, 2^{110100100001100} is an apocalyptic number.

110100100001100 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 110100100001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174932381277696).

110100100001100 is an abundant number, since it is smaller than the sum of its proper divisors (239764662554292).

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

110100100001100 is a wasteful number, since it uses less digits than its factorization.

110100100001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82417 (or 82410 counting only the distinct ones).

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

Adding to 110100100001100 its reverse (1100001001011), we get a palindrome (111200101002111).

The spelling of 110100100001100 in words is "one hundred ten trillion, one hundred billion, one hundred million, one thousand, one hundred".