10021333101120 has 252 divisors, whose sum is σ = 37887645710460. Its totient is φ = 2429414000640.

The previous prime is 10021333101119. The next prime is 10021333101161. The reversal of 10021333101120 is 2110133312001.

10021333101120 is a `hidden beast` number, since 1 + 0 + 0 + 213 + 331 + 0 + 1 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2686032543744 + 7335300557376 = 1638912^2 + 2708376^2 .

It is a super-2 number, since 2×10021333101120² (a number of 27 digits) contains 22 as substring.

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 = 10021333101093 and 10021333101102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14030155 + ... + 14727114.

Almost surely, 2^{10021333101120} is an apocalyptic number.

10021333101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021333101120 is an abundant number, since it is smaller than the sum of its proper divisors (27866312609340).

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

10021333101120 is a wasteful number, since it uses less digits than its factorization.

10021333101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28757314 (or 28757290 counting only the distinct ones).

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

Adding to 10021333101120 its reverse (2110133312001), we get a palindrome (12131466413121).

The spelling of 10021333101120 in words is "ten trillion, twenty-one billion, three hundred thirty-three million, one hundred one thousand, one hundred twenty".