322120030013100 has 432 divisors, whose sum is σ = 1137387985843200. Its totient is φ = 75543969600000.

The previous prime is 322120030013087. The next prime is 322120030013101. The reversal of 322120030013100 is 1310030021223.

322120030013100 is a `hidden beast` number, since 32 + 2 + 1 + 20 + 0 + 300 + 1 + 310 + 0 = 666.

It is a super-2 number, since 2×322120030013100² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (322120030013101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 874787826 + ... + 875155974.

Almost surely, 2^{322120030013100} is an apocalyptic number.

322120030013100 is a gapful number since it is divisible by the number (30) 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 322120030013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568693992921600).

322120030013100 is an abundant number, since it is smaller than the sum of its proper divisors (815267955830100).

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

322120030013100 is a wasteful number, since it uses less digits than its factorization.

322120030013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371062 (or 371052 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 322120030013100 its reverse (1310030021223), we get a palindrome (323430060034323).

The spelling of 322120030013100 in words is "three hundred twenty-two trillion, one hundred twenty billion, thirty million, thirteen thousand, one hundred".