1100101102100 has 432 divisors, whose sum is σ = 3404349357696. Its totient is φ = 302746752000.

The previous prime is 1100101102081. The next prime is 1100101102141. The reversal of 1100101102100 is 12011010011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16081970 + ... + 16150230.

It is an arithmetic number, because the mean of its divisors is an integer number (7880438328).

Almost surely, 2^{1100101102100} is an apocalyptic number.

1100101102100 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 1100101102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702174678848).

1100101102100 is an abundant number, since it is smaller than the sum of its proper divisors (2304248255596).

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

1100101102100 is a wasteful number, since it uses less digits than its factorization.

1100101102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68336 (or 68322 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1100101102100 its reverse (12011010011), we get a palindrome (1112112112111).

The spelling of 1100101102100 in words is "one trillion, one hundred billion, one hundred one million, one hundred two thousand, one hundred".