1020120021020 has 96 divisors (see below), whose sum is σ = 2301688037376. Its totient is φ = 378393523200.

The previous prime is 1020120021007. The next prime is 1020120021077. The reversal of 1020120021020 is 201200210201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1020120020992 and 1020120021010.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 40132115 + ... + 40157525.

It is an arithmetic number, because the mean of its divisors is an integer number (23975917056).

Almost surely, 2^{1020120021020} is an apocalyptic number.

1020120021020 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 1020120021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150844018688).

1020120021020 is an abundant number, since it is smaller than the sum of its proper divisors (1281568016356).

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

1020120021020 is a wasteful number, since it uses less digits than its factorization.

1020120021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27171 (or 27169 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1020120021020 its reverse (201200210201), we get a palindrome (1221320231221).

The spelling of 1020120021020 in words is "one trillion, twenty billion, one hundred twenty million, twenty-one thousand, twenty".