2101221202101 has 12 divisors (see below), whose sum is σ = 3259036966752. Its totient is φ = 1200697829688.

The previous prime is 2101221202057. The next prime is 2101221202117. The reversal of 2101221202101 is 1012021221012.

It is not a de Polignac number, because 2101221202101 - 2⁶ = 2101221202037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101221202141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7147010745 + ... + 7147011038.

It is an arithmetic number, because the mean of its divisors is an integer number (271586413896).

Almost surely, 2^{2101221202101} is an apocalyptic number.

2101221202101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2101221202101 is a deficient number, since it is larger than the sum of its proper divisors (1157815764651).

2101221202101 is a wasteful number, since it uses less digits than its factorization.

2101221202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14294021800 (or 14294021793 counting only the distinct ones).

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

Adding to 2101221202101 its reverse (1012021221012), we get a palindrome (3113242423113).

The spelling of 2101221202101 in words is "two trillion, one hundred one billion, two hundred twenty-one million, two hundred two thousand, one hundred one".