101221101202111 has 16 divisors (see below), whose sum is σ = 110547493475328. Its totient is φ = 91915466385600.

The previous prime is 101221101202099. The next prime is 101221101202141. The reversal of 101221101202111 is 111202101122101.

It is not a de Polignac number, because 101221101202111 - 2⁴⁵ = 66036729113279 is a prime.

It is a super-2 number, since 2×101221101202111² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221101202141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176819416 + ... + 177390946.

It is an arithmetic number, because the mean of its divisors is an integer number (6909218342208).

Almost surely, 2^{101221101202111} is an apocalyptic number.

101221101202111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101221101202111 is a deficient number, since it is larger than the sum of its proper divisors (9326392273217).

101221101202111 is a wasteful number, since it uses less digits than its factorization.

101221101202111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589662.

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

Adding to 101221101202111 its reverse (111202101122101), we get a palindrome (212423202324212).

The spelling of 101221101202111 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred one million, two hundred two thousand, one hundred eleven".