10212211122120 has 240 divisors, whose sum is σ = 39928356691740. Its totient is φ = 2334219648768.

The previous prime is 10212211122097. The next prime is 10212211122133. The reversal of 10212211122120 is 2122111221201.

10212211122120 is a `hidden beast` number, since 1 + 0 + 212 + 211 + 1 + 221 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9864637203204 + 347573918916 = 3140802^2 + 589554^2 .

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 = 10212211122093 and 10212211122102.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32003659 + ... + 32321178.

Almost surely, 2^{10212211122120} is an apocalyptic number.

10212211122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212211122120 is an abundant number, since it is smaller than the sum of its proper divisors (29716145569620).

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

10212211122120 is a wasteful number, since it uses less digits than its factorization.

10212211122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64324874 (or 64324854 counting only the distinct ones).

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

Adding to 10212211122120 its reverse (2122111221201), we get a palindrome (12334322343321).

The spelling of 10212211122120 in words is "ten trillion, two hundred twelve billion, two hundred eleven million, one hundred twenty-two thousand, one hundred twenty".