10101221000010 has 384 divisors, whose sum is σ = 31446448570368. Its totient is φ = 2201024448000.

The previous prime is 10101220999949. The next prime is 10101221000021. The reversal of 10101221000010 is 1000012210101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10101220999956 and 10101221000001.

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 191 ways as a sum of consecutive naturals, for example, 2178393412 + ... + 2178398048.

It is an arithmetic number, because the mean of its divisors is an integer number (81891793152).

Almost surely, 2^{10101221000010} is an apocalyptic number.

10101221000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101221000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15723224285184).

10101221000010 is an abundant number, since it is smaller than the sum of its proper divisors (21345227570358).

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

10101221000010 is a wasteful number, since it uses less digits than its factorization.

10101221000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6330 (or 6327 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10101221000010 its reverse (1000012210101), we get a palindrome (11101233210111).

The spelling of 10101221000010 in words is "ten trillion, one hundred one billion, two hundred twenty-one million, ten", and thus it is an aban number.