10221200202101 has 16 divisors (see below), whose sum is σ = 12309943120128. Its totient is φ = 8297143008000.

The previous prime is 10221200202097. The next prime is 10221200202127. The reversal of 10221200202101 is 10120200212201.

It is not a de Polignac number, because 10221200202101 - 2² = 10221200202097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221200292101) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 314269460 + ... + 314301981.

It is an arithmetic number, because the mean of its divisors is an integer number (769371445008).

Almost surely, 2^{10221200202101} is an apocalyptic number.

It is an amenable number.

10221200202101 is a deficient number, since it is larger than the sum of its proper divisors (2088742918027).

10221200202101 is a wasteful number, since it uses less digits than its factorization.

10221200202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628571572.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10221200202101 its reverse (10120200212201), we get a palindrome (20341400414302).

The spelling of 10221200202101 in words is "ten trillion, two hundred twenty-one billion, two hundred million, two hundred two thousand, one hundred one".