1101111010100 has 72 divisors (see below), whose sum is σ = 2449890702168. Its totient is φ = 429315379200.

The previous prime is 1101111010067. The next prime is 1101111010117. The reversal of 1101111010100 is 10101111011.

It can be written as a sum of positive squares in 12 ways, for example, as 985580359696 + 115530650404 = 992764^2 + 339898^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4459484 + ... + 4699916.

Almost surely, 2^{1101111010100} is an apocalyptic number.

1101111010100 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 1101111010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224945351084).

1101111010100 is an abundant number, since it is smaller than the sum of its proper divisors (1348779692068).

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

1101111010100 is a wasteful number, since it uses less digits than its factorization.

1101111010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241605 (or 241598 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1101111010100 its reverse (10101111011), we get a palindrome (1111212121111).

It can be divided in two parts, 110111 and 1010100, that added together give a palindrome (1120211).

The spelling of 1101111010100 in words is "one trillion, one hundred one billion, one hundred eleven million, ten thousand, one hundred".