101100121100 has 72 divisors (see below), whose sum is σ = 239384678400. Its totient is φ = 36755521600.

The previous prime is 101100121091. The next prime is 101100121103. The reversal of 101100121100 is 1121001101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101100121103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7384061 + ... + 7397739.

It is an arithmetic number, because the mean of its divisors is an integer number (3324787200).

Almost surely, 2^101100121100 is an apocalyptic number.

101100121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100121100 is an abundant number, since it is smaller than the sum of its proper divisors (138284557300).

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

101100121100 is a wasteful number, since it uses less digits than its factorization.

101100121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20423 (or 20416 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101100121100 its reverse (1121001101), we get a palindrome (102221122201).

The spelling of 101100121100 in words is "one hundred one billion, one hundred million, one hundred twenty-one thousand, one hundred".