101111221101 has 32 divisors (see below), whose sum is σ = 149339985408. Its totient is φ = 60334971840.

The previous prime is 101111221091. The next prime is 101111221109. The reversal of 101111221101 is 101122111101.

It is not a de Polignac number, because 101111221101 - 2¹⁷ = 101111090029 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111221109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4935786 + ... + 4956228.

It is an arithmetic number, because the mean of its divisors is an integer number (4666874544).

Almost surely, 2^101111221101 is an apocalyptic number.

101111221101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101111221101 is a deficient number, since it is larger than the sum of its proper divisors (48228764307).

101111221101 is a wasteful number, since it uses less digits than its factorization.

101111221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22761.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101111221101 its reverse (101122111101), we get a palindrome (202233332202).

Subtracting 101111221101 from its reverse (101122111101), we obtain a square (10890000 = 3300²).

It can be divided in two parts, 10 and 1111221101, that added together give a palindrome (1111221111).

The spelling of 101111221101 in words is "one hundred one billion, one hundred eleven million, two hundred twenty-one thousand, one hundred one".