110101284072 has 280 divisors, whose sum is σ = 335817834090. Its totient is φ = 33826066560.

The previous prime is 110101284067. The next prime is 110101284077. The reversal of 110101284072 is 270482101011.

It is an interprime number because it is at equal distance from previous prime (110101284067) and next prime (110101284077).

It can be written as a sum of positive squares in 5 ways, for example, as 5789079396 + 104312204676 = 76086^2 + 322974^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (110101284077) by changing a digit.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 166567422 + ... + 166568082.

Almost surely, 2^110101284072 is an apocalyptic number.

110101284072 is a gapful number since it is divisible by the number (12) 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 110101284072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167908917045).

110101284072 is an abundant number, since it is smaller than the sum of its proper divisors (225716550018).

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

110101284072 is an frugal number, since it uses more digits than its factorization.

110101284072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

Adding to 110101284072 its reverse (270482101011), we get a palindrome (380583385083).

The spelling of 110101284072 in words is "one hundred ten billion, one hundred one million, two hundred eighty-four thousand, seventy-two".