101131120 has 40 divisors (see below), whose sum is σ = 243243360. Its totient is φ = 39056640.

The previous prime is 101131099. The next prime is 101131153. The reversal of 101131120 is 21131101.

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101131097 and 101131106.

It is a congruent number.

It is an unprimeable number.

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, 19476 + ... + 24115.

It is an arithmetic number, because the mean of its divisors is an integer number (6081084).

Almost surely, 2^101131120 is an apocalyptic number.

101131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101131120 is an abundant number, since it is smaller than the sum of its proper divisors (142112240).

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

101131120 is a wasteful number, since it uses less digits than its factorization.

101131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43633 (or 43627 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 101131120 is about 10056.3969690939. The cubic root of 101131120 is about 465.9023907258.

Adding to 101131120 its reverse (21131101), we get a palindrome (122262221).

It can be divided in two parts, 1011 and 31120, that added together give a triangular number (32131 = T₂₅₃).

The spelling of 101131120 in words is "one hundred one million, one hundred thirty-one thousand, one hundred twenty".