1001113022120 has 64 divisors (see below), whose sum is σ = 2277771526800. Its totient is φ = 395963596800.

The previous prime is 1001113022099. The next prime is 1001113022137. The reversal of 1001113022120 is 212203111001.

It can be written as a sum of positive squares in 8 ways, for example, as 431604325156 + 569508696964 = 656966^2 + 754658^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1001113022095 and 1001113022104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2945642 + ... + 3267878.

Almost surely, 2^{1001113022120} is an apocalyptic number.

1001113022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001113022120 is an abundant number, since it is smaller than the sum of its proper divisors (1276658504680).

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

1001113022120 is a wasteful number, since it uses less digits than its factorization.

1001113022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323118 (or 323114 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1001113022120 its reverse (212203111001), we get a palindrome (1213316133121).

The spelling of 1001113022120 in words is "one trillion, one billion, one hundred thirteen million, twenty-two thousand, one hundred twenty".