10021221010010 has 96 divisors (see below), whose sum is σ = 21193033255632. Its totient is φ = 3401559490560.

The previous prime is 10021221010007. The next prime is 10021221010013. The reversal of 10021221010010 is 1001012212001.

10021221010010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10021221010007) and next prime (10021221010013).

It can be written as a sum of positive squares in 8 ways, for example, as 674400645961 + 9346820364049 = 821219^2 + 3057257^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10021221009973 and 10021221010000.

It is not an unprimeable number, because it can be changed into a prime (10021221010013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48678254 + ... + 48883686.

Almost surely, 2^{10021221010010} is an apocalyptic number.

10021221010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10021221010010 is an abundant number, since it is smaller than the sum of its proper divisors (11171812245622).

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

10021221010010 is a wasteful number, since it uses less digits than its factorization.

10021221010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206448 (or 206441 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10021221010010 its reverse (1001012212001), we get a palindrome (11022233222011).

The spelling of 10021221010010 in words is "ten trillion, twenty-one billion, two hundred twenty-one million, ten thousand, ten".