10001313220122 has 96 divisors (see below), whose sum is σ = 25436259149184. Its totient is φ = 2780093923200.

The previous prime is 10001313220079. The next prime is 10001313220201. The reversal of 10001313220122 is 22102231310001.

10001313220122 is a `hidden beast` number, since 10 + 0 + 0 + 1 + 313 + 220 + 122 = 666.

It is a super-2 number, since 2×10001313220122² (a number of 27 digits) contains 22 as substring.

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 = 10001313220095 and 10001313220104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74809597 + ... + 74943167.

It is an arithmetic number, because the mean of its divisors is an integer number (264961032804).

Almost surely, 2^{10001313220122} is an apocalyptic number.

10001313220122 is an abundant number, since it is smaller than the sum of its proper divisors (15434945929062).

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

10001313220122 is a wasteful number, since it uses less digits than its factorization.

10001313220122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149684 (or 149681 counting only the distinct ones).

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

Adding to 10001313220122 its reverse (22102231310001), we get a palindrome (32103544530123).

The spelling of 10001313220122 in words is "ten trillion, one billion, three hundred thirteen million, two hundred twenty thousand, one hundred twenty-two".