101110110110100 has 648 divisors, whose sum is σ = 397172886495840. Its totient is φ = 21325213647360.

The previous prime is 101110110110069. The next prime is 101110110110143. The reversal of 101110110110100 is 1011011011101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1616101419 + ... + 1616163981.

Almost surely, 2^{101110110110100} is an apocalyptic number.

101110110110100 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 101110110110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198586443247920).

101110110110100 is an abundant number, since it is smaller than the sum of its proper divisors (296062776385740).

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

101110110110100 is a wasteful number, since it uses less digits than its factorization.

101110110110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65429 (or 65412 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101110110110100 its reverse (1011011011101), we get a palindrome (102121121121201).

The spelling of 101110110110100 in words is "one hundred one trillion, one hundred ten billion, one hundred ten million, one hundred ten thousand, one hundred".