10021121321220 has 144 divisors (see below), whose sum is σ = 31481398061568. Its totient is φ = 2578604232960.

The previous prime is 10021121321179. The next prime is 10021121321303. The reversal of 10021121321220 is 2212312112001.

10021121321220 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 1 + 121 + 321 + 220 = 666.

It is a super-2 number, since 2×10021121321220² (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 = 10021121321193 and 10021121321202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7741099 + ... + 8942418.

It is an arithmetic number, because the mean of its divisors is an integer number (218620819872).

Almost surely, 2^{10021121321220} is an apocalyptic number.

10021121321220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021121321220 is an abundant number, since it is smaller than the sum of its proper divisors (21460276740348).

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

10021121321220 is a wasteful number, since it uses less digits than its factorization.

10021121321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16683650 (or 16683645 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10021121321220 its reverse (2212312112001), we get a palindrome (12233433433221).

The spelling of 10021121321220 in words is "ten trillion, twenty-one billion, one hundred twenty-one million, three hundred twenty-one thousand, two hundred twenty".