101121100 has 54 divisors (see below), whose sum is σ = 233166500. Its totient is φ = 38058240.

The previous prime is 101121089. The next prime is 101121107. The reversal of 101121100 is 1121101.

It is not an unprimeable number, because it can be changed into a prime (101121107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27151 + ... + 30649.

Almost surely, 2^101121100 is an apocalyptic number.

101121100 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 101121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116583250).

101121100 is an abundant number, since it is smaller than the sum of its proper divisors (132045400).

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

101121100 is a wasteful number, since it uses less digits than its factorization.

101121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3547 (or 3523 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 101121100 is about 10055.8987663958. The cubic root of 101121100 is about 465.8870031243.

Adding to 101121100 its reverse (1121101), we get a palindrome (102242201).

Subtracting from 101121100 its reverse (1121101), we obtain a palindrome (99999999).

The spelling of 101121100 in words is "one hundred one million, one hundred twenty-one thousand, one hundred".