2101222120221 has 36 divisors (see below), whose sum is σ = 3564966236832. Its totient is φ = 1168246999584.

The previous prime is 2101222120163. The next prime is 2101222120223. The reversal of 2101222120221 is 1220212221012.

It is a happy number.

2101222120221 is a `hidden beast` number, since 2 + 101 + 222 + 120 + 221 = 666.

It is not a de Polignac number, because 2101222120221 - 2³⁴ = 2084042251037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2101222120194 and 2101222120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101222120223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12095175 + ... + 12267668.

It is an arithmetic number, because the mean of its divisors is an integer number (99026839912).

Almost surely, 2^{2101222120221} is an apocalyptic number.

2101222120221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2101222120221 is a deficient number, since it is larger than the sum of its proper divisors (1463744116611).

2101222120221 is a wasteful number, since it uses less digits than its factorization.

2101222120221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24362930 (or 24362890 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2101222120221 its reverse (1220212221012), we get a palindrome (3321434341233).

The spelling of 2101222120221 in words is "two trillion, one hundred one billion, two hundred twenty-two million, one hundred twenty thousand, two hundred twenty-one".