1021011121020 has 192 divisors, whose sum is σ = 3139078924800. Its totient is φ = 245905228800.

The previous prime is 1021011120991. The next prime is 1021011121021. The reversal of 1021011121020 is 201211101201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1021011120987 and 1021011121005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021011121021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138928306 + ... + 138935654.

It is an arithmetic number, because the mean of its divisors is an integer number (16349369400).

Almost surely, 2^{1021011121020} is an apocalyptic number.

1021011121020 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 1021011121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569539462400).

1021011121020 is an abundant number, since it is smaller than the sum of its proper divisors (2118067803780).

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

1021011121020 is a wasteful number, since it uses less digits than its factorization.

1021011121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8716 (or 8714 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1021011121020 its reverse (201211101201), we get a palindrome (1222222222221).

The spelling of 1021011121020 in words is "one trillion, twenty-one billion, eleven million, one hundred twenty-one thousand, twenty".