10121221121220 has 72 divisors (see below), whose sum is σ = 33492040807680. Its totient is φ = 2453629362240.

The previous prime is 10121221121191. The next prime is 10121221121239. The reversal of 10121221121220 is 2212112212101.

10121221121220 is a `hidden beast` number, since 1 + 0 + 1 + 212 + 211 + 21 + 220 = 666.

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 = 10121221121193 and 10121221121202.

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, 2555861940 + ... + 2555865899.

It is an arithmetic number, because the mean of its divisors is an integer number (465167233440).

Almost surely, 2^{10121221121220} is an apocalyptic number.

10121221121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121221121220 is an abundant number, since it is smaller than the sum of its proper divisors (23370819686460).

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

10121221121220 is a wasteful number, since it uses less digits than its factorization.

10121221121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5111727865 (or 5111727860 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10121221121220 its reverse (2212112212101), we get a palindrome (12333333333321).

The spelling of 10121221121220 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred twenty".