101411120 has 40 divisors (see below), whose sum is σ = 249653664. Its totient is φ = 38177792.

The previous prime is 101411119. The next prime is 101411129. The reversal of 101411120 is 21114101.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (101411129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35924 + ... + 38643.

Almost surely, 2^101411120 is an apocalyptic number.

101411120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101411120 is an abundant number, since it is smaller than the sum of its proper divisors (148242544).

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

101411120 is a wasteful number, since it uses less digits than its factorization.

101411120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74597 (or 74591 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 101411120 is about 10070.3088333973. The cubic root of 101411120 is about 466.3319731670.

Adding to 101411120 its reverse (21114101), we get a palindrome (122525221).

The spelling of 101411120 in words is "one hundred one million, four hundred eleven thousand, one hundred twenty".