1011101110100 has 108 divisors (see below), whose sum is σ = 2316863523744. Its totient is φ = 382952612160.

The previous prime is 1011101110069. The next prime is 1011101110111. The reversal of 1011101110100 is 10111011101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80966057 + ... + 80978543.

Almost surely, 2^{1011101110100} is an apocalyptic number.

1011101110100 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 1011101110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158431761872).

1011101110100 is an abundant number, since it is smaller than the sum of its proper divisors (1305762413644).

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

1011101110100 is a wasteful number, since it uses less digits than its factorization.

1011101110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14782 (or 14756 counting only the distinct ones).

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

Adding to 1011101110100 its reverse (10111011101), we get a palindrome (1021212121201).

1011101110100 divided by its reverse (10111011101) gives a square (100 = 10²).

The spelling of 1011101110100 in words is "one trillion, eleven billion, one hundred one million, one hundred ten thousand, one hundred".