101111110100028 has 144 divisors (see below), whose sum is σ = 294974693447616. Its totient is φ = 28604960778240.

The previous prime is 101111110100009. The next prime is 101111110100029. The reversal of 101111110100028 is 820001011111101.

It is a super-3 number, since 3×101111110100028³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111110100029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27093598 + ... + 30598778.

It is an arithmetic number, because the mean of its divisors is an integer number (2048435371164).

Almost surely, 2^{101111110100028} is an apocalyptic number.

101111110100028 is a gapful number since it is divisible by the number (18) 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 101111110100028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147487346723808).

101111110100028 is an abundant number, since it is smaller than the sum of its proper divisors (193863583347588).

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

101111110100028 is a wasteful number, since it uses less digits than its factorization.

101111110100028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3506324 (or 3506319 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 101111110100028 its reverse (820001011111101), we get a palindrome (921112121211129).

The spelling of 101111110100028 in words is "one hundred one trillion, one hundred eleven billion, one hundred ten million, one hundred thousand, twenty-eight".