101221021222211 has 16 divisors (see below), whose sum is σ = 110487712922496. Its totient is φ = 91965129840000.

The previous prime is 101221021222199. The next prime is 101221021222231. The reversal of 101221021222211 is 112222120122101.

It is a cyclic number.

It is not a de Polignac number, because 101221021222211 - 2¹⁴ = 101221021205827 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101221021222231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 731449856 + ... + 731588226.

It is an arithmetic number, because the mean of its divisors is an integer number (6905482057656).

Almost surely, 2^{101221021222211} is an apocalyptic number.

101221021222211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101221021222211 is a deficient number, since it is larger than the sum of its proper divisors (9266691700285).

101221021222211 is a wasteful number, since it uses less digits than its factorization.

101221021222211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176914.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 101221021222211 its reverse (112222120122101), we get a palindrome (213443141344312).

The spelling of 101221021222211 in words is "one hundred one trillion, two hundred twenty-one billion, twenty-one million, two hundred twenty-two thousand, two hundred eleven".