1002100021200 has 960 divisors, whose sum is σ = 3728784556800. Its totient is φ = 258660864000.

The previous prime is 1002100021199. The next prime is 1002100021217. The reversal of 1002100021200 is 21200012001.

1002100021200 is digitally balanced in base 2, because in such base 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 (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4749289095 + ... + 4749289305.

It is an arithmetic number, because the mean of its divisors is an integer number (3884150580).

Almost surely, 2^{1002100021200} is an apocalyptic number.

1002100021200 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 1002100021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864392278400).

1002100021200 is an abundant number, since it is smaller than the sum of its proper divisors (2726684535600).

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

1002100021200 is an equidigital number, since it uses as much as digits as its factorization.

1002100021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1002100021200 its reverse (21200012001), we get a palindrome (1023300033201).

The spelling of 1002100021200 in words is "one trillion, two billion, one hundred million, twenty-one thousand, two hundred".