1001122011020 has 96 divisors (see below), whose sum is σ = 2304658137600. Its totient is φ = 363651563520.

The previous prime is 1001122011007. The next prime is 1001122011041. The reversal of 1001122011020 is 201102211001.

1001122011020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1001122010992 and 1001122011010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3411056 + ... + 3692904.

It is an arithmetic number, because the mean of its divisors is an integer number (24006855600).

Almost surely, 2^{1001122011020} is an apocalyptic number.

1001122011020 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 1001122011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152329068800).

1001122011020 is an abundant number, since it is smaller than the sum of its proper divisors (1303536126580).

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

1001122011020 is a wasteful number, since it uses less digits than its factorization.

1001122011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282243 (or 282241 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1001122011020 its reverse (201102211001), we get a palindrome (1202224222021).

The spelling of 1001122011020 in words is "one trillion, one billion, one hundred twenty-two million, eleven thousand, twenty".