101200322120 has 192 divisors, whose sum is σ = 248158909440. Its totient is φ = 37089561600.

The previous prime is 101200322077. The next prime is 101200322129. The reversal of 101200322120 is 21223002101.

It is a happy number.

It is a super-2 number, since 2×101200322120² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101200322095 and 101200322104.

It is not an unprimeable number, because it can be changed into a prime (101200322129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55269605 + ... + 55271435.

It is an arithmetic number, because the mean of its divisors is an integer number (1292494320).

Almost surely, 2^101200322120 is an apocalyptic number.

101200322120 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 101200322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124079454720).

101200322120 is an abundant number, since it is smaller than the sum of its proper divisors (146958587320).

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

101200322120 is a wasteful number, since it uses less digits than its factorization.

101200322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 101200322120 its reverse (21223002101), we get a palindrome (122423324221).

The spelling of 101200322120 in words is "one hundred one billion, two hundred million, three hundred twenty-two thousand, one hundred twenty".