1021012419800 has 96 divisors (see below), whose sum is σ = 2395786950000. Its totient is φ = 404643041280.

The previous prime is 1021012419793. The next prime is 1021012419863. The reversal of 1021012419800 is 89142101201.

1021012419800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1021012419800² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14294576 + ... + 14365824.

Almost surely, 2^{1021012419800} is an apocalyptic number.

1021012419800 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 1021012419800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197893475000).

1021012419800 is an abundant number, since it is smaller than the sum of its proper divisors (1374774530200).

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

1021012419800 is a wasteful number, since it uses less digits than its factorization.

1021012419800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71925 (or 71916 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 29.

The spelling of 1021012419800 in words is "one trillion, twenty-one billion, twelve million, four hundred nineteen thousand, eight hundred".