1011001120020 has 72 divisors (see below), whose sum is σ = 3066921017160. Its totient is φ = 269581167360.

The previous prime is 1011001120009. The next prime is 1011001120061. The reversal of 1011001120020 is 200211001101.

It is a happy number.

1011001120020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 23155344 + 1010977964676 = 4812^2 + 1005474^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1011001119984 and 1011001120011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2441250 + ... + 2825190.

Almost surely, 2^{1011001120020} is an apocalyptic number.

1011001120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011001120020 is an abundant number, since it is smaller than the sum of its proper divisors (2055919897140).

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

1011001120020 is a wasteful number, since it uses less digits than its factorization.

1011001120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398585 (or 398580 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1011001120020 its reverse (200211001101), we get a palindrome (1211212121121).

The spelling of 1011001120020 in words is "one trillion, eleven billion, one million, one hundred twenty thousand, twenty".