10220100001221 has 32 divisors (see below), whose sum is σ = 16006827571200. Its totient is φ = 5730839463680.

The previous prime is 10220100001213. The next prime is 10220100001229. The reversal of 10220100001221 is 12210000102201.

It is an interprime number because it is at equal distance from previous prime (10220100001213) and next prime (10220100001229).

It is a cyclic number.

It is not a de Polignac number, because 10220100001221 - 2³ = 10220100001213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10220100001197 and 10220100001206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220100001229) 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 31 ways as a sum of consecutive naturals, for example, 154353741 + ... + 154419938.

It is an arithmetic number, because the mean of its divisors is an integer number (500213361600).

Almost surely, 2^{10220100001221} is an apocalyptic number.

10220100001221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10220100001221 is a deficient number, since it is larger than the sum of its proper divisors (5786727569979).

10220100001221 is a wasteful number, since it uses less digits than its factorization.

10220100001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308773769.

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

Adding to 10220100001221 its reverse (12210000102201), we get a palindrome (22430100103422).

The spelling of 10220100001221 in words is "ten trillion, two hundred twenty billion, one hundred million, one thousand, two hundred twenty-one".