10021202201010 has 1024 divisors, whose sum is σ = 35018558668800. Its totient is φ = 1766284185600.

The previous prime is 10021202200979. The next prime is 10021202201051. The reversal of 10021202201010 is 1010220212001.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 10112211615 + ... + 10112212605.

It is an arithmetic number, because the mean of its divisors is an integer number (34197811200).

Almost surely, 2^{10021202201010} is an apocalyptic number.

10021202201010 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 10021202201010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17509279334400).

10021202201010 is an abundant number, since it is smaller than the sum of its proper divisors (24997356467790).

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

10021202201010 is a wasteful number, since it uses less digits than its factorization.

10021202201010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10021202201010 its reverse (1010220212001), we get a palindrome (11031422413011).

The spelling of 10021202201010 in words is "ten trillion, twenty-one billion, two hundred two million, two hundred one thousand, ten".