10021000221102 has 128 divisors (see below), whose sum is σ = 21837260390400. Its totient is φ = 3047402082816.

The previous prime is 10021000221083. The next prime is 10021000221103. The reversal of 10021000221102 is 20112200012001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021000221103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3743368188 + ... + 3743370864.

It is an arithmetic number, because the mean of its divisors is an integer number (170603596800).

Almost surely, 2^{10021000221102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021000221102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10918630195200).

10021000221102 is an abundant number, since it is smaller than the sum of its proper divisors (11816260169298).

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

10021000221102 is a wasteful number, since it uses less digits than its factorization.

10021000221102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4370.

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

Adding to 10021000221102 its reverse (20112200012001), we get a palindrome (30133200233103).

The spelling of 10021000221102 in words is "ten trillion, twenty-one billion, two hundred twenty-one thousand, one hundred two".