122101152 has 48 divisors (see below), whose sum is σ = 322332192. Its totient is φ = 40469760.

The previous prime is 122101129. The next prime is 122101153. The reversal of 122101152 is 251101221.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (122101153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13863 + ... + 20889.

It is an arithmetic number, because the mean of its divisors is an integer number (6715254).

Almost surely, 2^122101152 is an apocalyptic number.

122101152 is a gapful number since it is divisible by the number (12) 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 122101152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161166096).

122101152 is an abundant number, since it is smaller than the sum of its proper divisors (200231040).

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

122101152 is a wasteful number, since it uses less digits than its factorization.

122101152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7221 (or 7213 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 122101152 is about 11049.9390043565. The cubic root of 122101152 is about 496.1045998613.

Adding to 122101152 its reverse (251101221), we get a palindrome (373202373).

The spelling of 122101152 in words is "one hundred twenty-two million, one hundred one thousand, one hundred fifty-two".