10221202101012 has 96 divisors (see below), whose sum is σ = 27643607599104. Its totient is φ = 2878881264000.

The previous prime is 10221202100999. The next prime is 10221202101059. The reversal of 10221202101012 is 21010120212201.

It is a junction number, because it is equal to n+sod(n) for n = 10221202100982 and 10221202101000.

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 31 ways as a sum of consecutive naturals, for example, 54375387 + ... + 54563037.

It is an arithmetic number, because the mean of its divisors is an integer number (287954245824).

Almost surely, 2^{10221202101012} is an apocalyptic number.

10221202101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221202101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13821803799552).

10221202101012 is an abundant number, since it is smaller than the sum of its proper divisors (17422405498092).

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

10221202101012 is a wasteful number, since it uses less digits than its factorization.

10221202101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196869 (or 196867 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10221202101012 its reverse (21010120212201), we get a palindrome (31231322313213).

The spelling of 10221202101012 in words is "ten trillion, two hundred twenty-one billion, two hundred two million, one hundred one thousand, twelve".