101211221111 has 32 divisors (see below), whose sum is σ = 135932160000. Its totient is φ = 72777761280.

The previous prime is 101211221081. The next prime is 101211221119. The reversal of 101211221111 is 111122112101.

It is not a de Polignac number, because 101211221111 - 2¹⁰ = 101211220087 is a prime.

It is a super-2 number, since 2×101211221111² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211221119) 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 31 ways as a sum of consecutive naturals, for example, 3879890 + ... + 3905888.

It is an arithmetic number, because the mean of its divisors is an integer number (4247880000).

Almost surely, 2^101211221111 is an apocalyptic number.

101211221111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101211221111 is a deficient number, since it is larger than the sum of its proper divisors (34720938889).

101211221111 is a wasteful number, since it uses less digits than its factorization.

101211221111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29919.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101211221111 its reverse (111122112101), we get a palindrome (212333333212).

It can be divided in two parts, 10 and 1211221111, that added together give a palindrome (1211221121).

The spelling of 101211221111 in words is "one hundred one billion, two hundred eleven million, two hundred twenty-one thousand, one hundred eleven".