101112220212111 has 32 divisors (see below), whose sum is σ = 153966859397120. Its totient is φ = 65545266370752.

The previous prime is 101112220212079. The next prime is 101112220212119. The reversal of 101112220212111 is 111212022211101.

It is a happy number.

101112220212111 is a `hidden beast` number, since 10 + 1 + 112 + 220 + 212 + 111 = 666.

It is not a de Polignac number, because 101112220212111 - 2⁵ = 101112220212079 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112220212119) 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 31 ways as a sum of consecutive naturals, for example, 195011566 + ... + 195529371.

It is an arithmetic number, because the mean of its divisors is an integer number (4811464356160).

Almost surely, 2^{101112220212111} is an apocalyptic number.

101112220212111 is a deficient number, since it is larger than the sum of its proper divisors (52854639185009).

101112220212111 is a wasteful number, since it uses less digits than its factorization.

101112220212111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390541212 (or 390541206 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101112220212111 its reverse (111212022211101), we get a palindrome (212324242423212).

The spelling of 101112220212111 in words is "one hundred one trillion, one hundred twelve billion, two hundred twenty million, two hundred twelve thousand, one hundred eleven".