101122221211 has 64 divisors (see below), whose sum is σ = 119995084800. Its totient is φ = 84250368000.

The previous prime is 101122221119. The next prime is 101122221241. The reversal of 101122221211 is 112122221101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101122221211 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101122221241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 211110870 + ... + 211111348.

It is an arithmetic number, because the mean of its divisors is an integer number (1874923200).

Almost surely, 2^101122221211 is an apocalyptic number.

101122221211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101122221211 is a deficient number, since it is larger than the sum of its proper divisors (18872863589).

101122221211 is a wasteful number, since it uses less digits than its factorization.

101122221211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820.

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

Adding to 101122221211 its reverse (112122221101), we get a palindrome (213244442312).

It can be divided in two parts, 1011 and 22221211, that added together give a palindrome (22222222).

The spelling of 101122221211 in words is "one hundred one billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred eleven".