1011000012020 has 96 divisors (see below), whose sum is σ = 2213353296000. Its totient is φ = 387430848000.

The previous prime is 1011000011977. The next prime is 1011000012023. The reversal of 1011000012020 is 202100001101.

It is a junction number, because it is equal to n+sod(n) for n = 1011000011989 and 1011000012007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011000012023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90821855 + ... + 90832985.

It is an arithmetic number, because the mean of its divisors is an integer number (23055763500).

Almost surely, 2^{1011000012020} is an apocalyptic number.

1011000012020 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 1011000012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106676648000).

1011000012020 is an abundant number, since it is smaller than the sum of its proper divisors (1202353283980).

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

1011000012020 is a wasteful number, since it uses less digits than its factorization.

1011000012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12369 (or 12367 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1011000012020 its reverse (202100001101), we get a palindrome (1213100013121).

The spelling of 1011000012020 in words is "one trillion, eleven billion, twelve thousand, twenty".