1010021323200 has 336 divisors, whose sum is σ = 3410262785760. Its totient is φ = 261521326080.

The previous prime is 1010021323121. The next prime is 1010021323211. The reversal of 1010021323200 is 23231200101.

1010021323200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1010021323200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90392814 + ... + 90403986.

Almost surely, 2^{1010021323200} is an apocalyptic number.

1010021323200 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 1010021323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705131392880).

1010021323200 is an abundant number, since it is smaller than the sum of its proper divisors (2400241462560).

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

1010021323200 is a wasteful number, since it uses less digits than its factorization.

1010021323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11744 (or 11729 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1010021323200 its reverse (23231200101), we get a palindrome (1033252523301).

The spelling of 1010021323200 in words is "one trillion, ten billion, twenty-one million, three hundred twenty-three thousand, two hundred".