1101111102100 has 72 divisors (see below), whose sum is σ = 2663120799360. Its totient is φ = 392718251520.

The previous prime is 1101111102067. The next prime is 1101111102137. The reversal of 1101111102100 is 12011111011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17012764 + ... + 17077363.

It is an arithmetic number, because the mean of its divisors is an integer number (36987788880).

Almost surely, 2^{1101111102100} is an apocalyptic number.

1101111102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101111102100 is an abundant number, since it is smaller than the sum of its proper divisors (1562009697260).

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

1101111102100 is a wasteful number, since it uses less digits than its factorization.

1101111102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34090177 (or 34090170 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1101111102100 its reverse (12011111011), we get a palindrome (1113122213111).

The spelling of 1101111102100 in words is "one trillion, one hundred one billion, one hundred eleven million, one hundred two thousand, one hundred".