101222112101 has 16 divisors (see below), whose sum is σ = 113926008768. Its totient is φ = 89880048720.

The previous prime is 101222112067. The next prime is 101222112109. The reversal of 101222112101 is 101211222101.

It is not a de Polignac number, because 101222112101 - 2¹⁰ = 101222111077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222112109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 827066 + ... + 941531.

It is an arithmetic number, because the mean of its divisors is an integer number (7120375548).

Almost surely, 2^101222112101 is an apocalyptic number.

101222112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101222112101 is a deficient number, since it is larger than the sum of its proper divisors (12703896667).

101222112101 is an equidigital number, since it uses as much as digits as its factorization.

101222112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768673 (or 1768651 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101222112101 its reverse (101211222101), we get a palindrome (202433334202).

Subtracting from 101222112101 its reverse (101211222101), we obtain a square (10890000 = 3300²).

The spelling of 101222112101 in words is "one hundred one billion, two hundred twenty-two million, one hundred twelve thousand, one hundred one".