101110222011100 has 108 divisors (see below), whose sum is σ = 233673995547720. Its totient is φ = 37967167001600.

The previous prime is 101110222011079. The next prime is 101110222011101. The reversal of 101110222011100 is 1110222011101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110222011101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6745155 + ... + 15739045.

Almost surely, 2^{101110222011100} is an apocalyptic number.

101110222011100 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 101110222011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116836997773860).

101110222011100 is an abundant number, since it is smaller than the sum of its proper divisors (132563773536620).

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

101110222011100 is a wasteful number, since it uses less digits than its factorization.

101110222011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8994328 (or 8994304 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101110222011100 its reverse (1110222011101), we get a palindrome (102220444022201).

Subtracting from 101110222011100 its reverse (1110222011101), we obtain a palindrome (99999999999999).

The spelling of 101110222011100 in words is "one hundred one trillion, one hundred ten billion, two hundred twenty-two million, eleven thousand, one hundred".