101112101100 has 432 divisors, whose sum is σ = 332024749056. Its totient is φ = 25718784000.

The previous prime is 101112101081. The next prime is 101112101119. The reversal of 101112101100 is 1101211101.

101112101100 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101112101081) and next prime (101112101119).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 393432172 + ... + 393432428.

It is an arithmetic number, because the mean of its divisors is an integer number (768575808).

Almost surely, 2^101112101100 is an apocalyptic number.

101112101100 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 101112101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166012374528).

101112101100 is an abundant number, since it is smaller than the sum of its proper divisors (230912647956).

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

101112101100 is a wasteful number, since it uses less digits than its factorization.

101112101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101112101100 its reverse (1101211101), we get a palindrome (102213312201).

The spelling of 101112101100 in words is "one hundred one billion, one hundred twelve million, one hundred one thousand, one hundred".