101233311120 has 120 divisors (see below), whose sum is σ = 342141032376. Its totient is φ = 26823573504.

The previous prime is 101233311103. The next prime is 101233311131. The reversal of 101233311120 is 21113332101.

101233311120 is a `hidden beast` number, since 1 + 0 + 1 + 233 + 311 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3919260816 + 97314050304 = 62604^2 + 311952^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101233311093 and 101233311102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334737 + ... + 560816.

Almost surely, 2^101233311120 is an apocalyptic number.

101233311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101233311120 is an abundant number, since it is smaller than the sum of its proper divisors (240907721256).

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

101233311120 is a wasteful number, since it uses less digits than its factorization.

101233311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895729 (or 895720 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101233311120 its reverse (21113332101), we get a palindrome (122346643221).

The spelling of 101233311120 in words is "one hundred one billion, two hundred thirty-three million, three hundred eleven thousand, one hundred twenty".