101112101022211 has 8 divisors (see below), whose sum is σ = 102789457378848. Its totient is φ = 99448004400000.

The previous prime is 101112101022161. The next prime is 101112101022263. The reversal of 101112101022211 is 112220101211101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101112101022211 - 2¹⁵ = 101112100989443 is a prime.

It is a super-2 number, since 2×101112101022211² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101112101032211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3314918230 + ... + 3314948731.

It is an arithmetic number, because the mean of its divisors is an integer number (12848682172356).

Almost surely, 2^{101112101022211} is an apocalyptic number.

101112101022211 is a deficient number, since it is larger than the sum of its proper divisors (1677356356637).

101112101022211 is a wasteful number, since it uses less digits than its factorization.

101112101022211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6629867213.

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

Adding to 101112101022211 its reverse (112220101211101), we get a palindrome (213332202233312).

The spelling of 101112101022211 in words is "one hundred one trillion, one hundred twelve billion, one hundred one million, twenty-two thousand, two hundred eleven".