1000121021020 has 192 divisors, whose sum is σ = 2431530565632. Its totient is φ = 342162720000.

The previous prime is 1000121020991. The next prime is 1000121021057. The reversal of 1000121021020 is 201201210001.

It is a super-4 number, since 4×1000121021020⁴ (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1000121020988 and 1000121021006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48391209 + ... + 48411871.

It is an arithmetic number, because the mean of its divisors is an integer number (12664221696).

Almost surely, 2^{1000121021020} is an apocalyptic number.

1000121021020 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 1000121021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215765282816).

1000121021020 is an abundant number, since it is smaller than the sum of its proper divisors (1431409544612).

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

1000121021020 is a wasteful number, since it uses less digits than its factorization.

1000121021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20912 (or 20910 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1000121021020 its reverse (201201210001), we get a palindrome (1201322231021).

The spelling of 1000121021020 in words is "one trillion, one hundred twenty-one million, twenty-one thousand, twenty".