1002011121020 has 192 divisors, whose sum is σ = 2668349381376. Its totient is φ = 307645931520.

The previous prime is 1002011121017. The next prime is 1002011121043. The reversal of 1002011121020 is 201211102001.

It is a junction number, because it is equal to n+sod(n) for n = 1002011120992 and 1002011121010.

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 63 ways as a sum of consecutive naturals, for example, 8042642 + ... + 8166278.

It is an arithmetic number, because the mean of its divisors is an integer number (13897653028).

Almost surely, 2^{1002011121020} is an apocalyptic number.

1002011121020 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 1002011121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334174690688).

1002011121020 is an abundant number, since it is smaller than the sum of its proper divisors (1666338260356).

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

1002011121020 is a wasteful number, since it uses less digits than its factorization.

1002011121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123800 (or 123798 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1002011121020 its reverse (201211102001), we get a palindrome (1203222223021).

It can be divided in two parts, 100201 and 1121020, that added together give a palindrome (1221221).

The spelling of 1002011121020 in words is "one trillion, two billion, eleven million, one hundred twenty-one thousand, twenty".