101222122102211 has 16 divisors (see below), whose sum is σ = 110465478615168. Its totient is φ = 91985663044800.

The previous prime is 101222122102201. The next prime is 101222122102307. The reversal of 101222122102211 is 112201221222101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101222122102211 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101222122102201) 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, 319264076 + ... + 319580966.

It is an arithmetic number, because the mean of its divisors is an integer number (6904092413448).

Almost surely, 2^{101222122102211} is an apocalyptic number.

101222122102211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101222122102211 is a deficient number, since it is larger than the sum of its proper divisors (9243356512957).

101222122102211 is a wasteful number, since it uses less digits than its factorization.

101222122102211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327682.

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

Adding to 101222122102211 its reverse (112201221222101), we get a palindrome (213423343324312).

The spelling of 101222122102211 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred two thousand, two hundred eleven".