10021211011220 has 48 divisors (see below), whose sum is σ = 22311893212560. Its totient is φ = 3767707367424.

The previous prime is 10021211011129. The next prime is 10021211011247. The reversal of 10021211011220 is 2211011212001.

It can be written as a sum of positive squares in 8 ways, for example, as 1537436324356 + 8483774686864 = 1239934^2 + 2912692^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10021211011195 and 10021211011204.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 19210355 + ... + 19725114.

It is an arithmetic number, because the mean of its divisors is an integer number (464831108595).

Almost surely, 2^{10021211011220} is an apocalyptic number.

10021211011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021211011220 is an abundant number, since it is smaller than the sum of its proper divisors (12290682201340).

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

10021211011220 is a wasteful number, since it uses less digits than its factorization.

10021211011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38936252 (or 38936250 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10021211011220 its reverse (2211011212001), we get a palindrome (12232222223221).

The spelling of 10021211011220 in words is "ten trillion, twenty-one billion, two hundred eleven million, eleven thousand, two hundred twenty".