101221122211 has 16 divisors (see below), whose sum is σ = 115261885440. Its totient is φ = 87989461120.

The previous prime is 101221122193. The next prime is 101221122217. The reversal of 101221122211 is 112221122101.

It is a de Polignac number, because none of the positive numbers 2^k-101221122211 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101221122217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 724971 + ... + 853243.

It is an arithmetic number, because the mean of its divisors is an integer number (7203867840).

Almost surely, 2^101221122211 is an apocalyptic number.

101221122211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101221122211 is a deficient number, since it is larger than the sum of its proper divisors (14040763229).

101221122211 is a wasteful number, since it uses less digits than its factorization.

101221122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131426.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101221122211 its reverse (112221122101), we get a palindrome (213442244312).

The spelling of 101221122211 in words is "one hundred one billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred eleven".