101106111060 has 96 divisors (see below), whose sum is σ = 318861406080. Its totient is φ = 26592281856.

The previous prime is 101106111053. The next prime is 101106111061. The reversal of 101106111060 is 60111601101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101106111061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1243002 + ... + 1321841.

It is an arithmetic number, because the mean of its divisors is an integer number (3321472980).

Almost surely, 2^101106111060 is an apocalyptic number.

101106111060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101106111060 is an abundant number, since it is smaller than the sum of its proper divisors (217755295020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101106111060 is a wasteful number, since it uses less digits than its factorization.

101106111060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2564934 (or 2564926 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 101106111060 its reverse (60111601101), we get a palindrome (161217712161).

It can be divided in two parts, 1011061 and 11060, that added together give a square (1022121 = 1011²).

The spelling of 101106111060 in words is "one hundred one billion, one hundred six million, one hundred eleven thousand, sixty".