1021019835072 has 224 divisors, whose sum is σ = 2842932510720. Its totient is φ = 322987484160.

The previous prime is 1021019835067. The next prime is 1021019835097. The reversal of 1021019835072 is 2705389101201.

It is a happy number.

It is a super-2 number, since 2×1021019835072² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1021019835072.

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, 90518329 + ... + 90529607.

Almost surely, 2^{1021019835072} is an apocalyptic number.

1021019835072 is a gapful number since it is divisible by the number (12) 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 1021019835072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421466255360).

1021019835072 is an abundant number, since it is smaller than the sum of its proper divisors (1821912675648).

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

1021019835072 is a wasteful number, since it uses less digits than its factorization.

1021019835072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11619 (or 11609 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 1021019835072 in words is "one trillion, twenty-one billion, nineteen million, eight hundred thirty-five thousand, seventy-two".