101122120 has 96 divisors (see below), whose sum is σ = 265015800. Its totient is φ = 34580480.

The previous prime is 101122117. The next prime is 101122121. The reversal of 101122120 is 21221101.

It can be written as a sum of positive squares in 4 ways, for example, as 101082916 + 39204 = 10054^2 + 198^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101122097 and 101122106.

It is not an unprimeable number, because it can be changed into a prime (101122121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81666 + ... + 82894.

Almost surely, 2^101122120 is an apocalyptic number.

101122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132507900).

101122120 is an abundant number, since it is smaller than the sum of its proper divisors (163893680).

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

101122120 is a wasteful number, since it uses less digits than its factorization.

101122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 101122120 is about 10055.9494827689. The cubic root of 101122120 is about 465.8885695733. Note that the first 3 decimals are identical.

Adding to 101122120 its reverse (21221101), we get a palindrome (122343221).

It can be divided in two parts, 101 and 122120, that added together give a palindrome (122221).

The spelling of 101122120 in words is "one hundred one million, one hundred twenty-two thousand, one hundred twenty".