100113212322 has 192 divisors, whose sum is σ = 240843632640. Its totient is φ = 29932156800.

The previous prime is 100113212321. The next prime is 100113212351. The reversal of 100113212322 is 223212311001.

100113212322 is a `hidden beast` number, since 10 + 0 + 11 + 321 + 2 + 322 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100113212295 and 100113212304.

It is not an unprimeable number, because it can be changed into a prime (100113212321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 183022053 + ... + 183022599.

It is an arithmetic number, because the mean of its divisors is an integer number (1254393920).

Almost surely, 2^100113212322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100113212322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120421816320).

100113212322 is an abundant number, since it is smaller than the sum of its proper divisors (140730420318).

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

100113212322 is a wasteful number, since it uses less digits than its factorization.

100113212322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100113212322 its reverse (223212311001), we get a palindrome (323325523323).

The spelling of 100113212322 in words is "one hundred billion, one hundred thirteen million, two hundred twelve thousand, three hundred twenty-two".