101221111122111 has 48 divisors (see below), whose sum is σ = 159028781079168. Its totient is φ = 61780771353600.

The previous prime is 101221111122107. The next prime is 101221111122121. The reversal of 101221111122111 is 111221111122101.

101221111122111 is a `hidden beast` number, since 101 + 221 + 1 + 111 + 221 + 11 = 666.

It is not a de Polignac number, because 101221111122111 - 2² = 101221111122107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221111122121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23005066 + ... + 27049496.

It is an arithmetic number, because the mean of its divisors is an integer number (3313099605816).

Almost surely, 2^{101221111122111} is an apocalyptic number.

101221111122111 is a deficient number, since it is larger than the sum of its proper divisors (57807669957057).

101221111122111 is a wasteful number, since it uses less digits than its factorization.

101221111122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4048912 (or 4048909 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 101221111122111 its reverse (111221111122101), we get a palindrome (212442222244212).

The spelling of 101221111122111 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred eleven million, one hundred twenty-two thousand, one hundred eleven".