101122102320 has 160 divisors (see below), whose sum is σ = 332521806528. Its totient is φ = 25333530624.

The previous prime is 101122102307. The next prime is 101122102349. The reversal of 101122102320 is 23201221101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101122102320.

It is an unprimeable number.

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, 2250312 + ... + 2294808.

Almost surely, 2^101122102320 is an apocalyptic number.

101122102320 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 101122102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166260903264).

101122102320 is an abundant number, since it is smaller than the sum of its proper divisors (231399704208).

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

101122102320 is a wasteful number, since it uses less digits than its factorization.

101122102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45087 (or 45081 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101122102320 its reverse (23201221101), we get a palindrome (124323323421).

The spelling of 101122102320 in words is "one hundred one billion, one hundred twenty-two million, one hundred two thousand, three hundred twenty".