1100101112100 has 54 divisors (see below), whose sum is σ = 3448205821970. Its totient is φ = 293360296320.

The previous prime is 1100101112041. The next prime is 1100101112111. The reversal of 1100101112100 is 12111010011.

It can be written as a sum of positive squares in 3 ways, for example, as 5750795556 + 1094350316544 = 75834^2 + 1046112^2 .

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 17 ways as a sum of consecutive naturals, for example, 611166385 + ... + 611168184.

Almost surely, 2^{1100101112100} is an apocalyptic number.

1100101112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100101112100 is an abundant number, since it is smaller than the sum of its proper divisors (2348104709870).

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

1100101112100 is a wasteful number, since it uses less digits than its factorization.

1100101112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222334589 (or 1222334579 counting only the distinct ones).

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

Adding to 1100101112100 its reverse (12111010011), we get a palindrome (1112212122111).

It can be divided in two parts, 1100101 and 112100, that added together give a square (1212201 = 1101²).

The spelling of 1100101112100 in words is "one trillion, one hundred billion, one hundred one million, one hundred twelve thousand, one hundred".