101122111120 has 20 divisors (see below), whose sum is σ = 235108908540. Its totient is φ = 40448844416.

The previous prime is 101122111093. The next prime is 101122111159. The reversal of 101122111120 is 21111221101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 46946755584 + 54175355536 = 216672^2 + 232756^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 101122111120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 632013115 + ... + 632013274.

It is an arithmetic number, because the mean of its divisors is an integer number (11755445427).

Almost surely, 2^101122111120 is an apocalyptic number.

101122111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122111120 is an abundant number, since it is smaller than the sum of its proper divisors (133986797420).

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

101122111120 is a wasteful number, since it uses less digits than its factorization.

101122111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264026402 (or 1264026396 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101122111120 its reverse (21111221101), we get a palindrome (122233332221).

It can be divided in two parts, 101 and 122111120, that added together give a palindrome (122111221).

The spelling of 101122111120 in words is "one hundred one billion, one hundred twenty-two million, one hundred eleven thousand, one hundred twenty".