1012021210200 has 768 divisors, whose sum is σ = 4326213104640. Its totient is φ = 188863488000.

The previous prime is 1012021210147. The next prime is 1012021210201. The reversal of 1012021210200 is 20121202101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012021210201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22199430 + ... + 22244970.

It is an arithmetic number, because the mean of its divisors is an integer number (5633089980).

Almost surely, 2^{1012021210200} is an apocalyptic number.

1012021210200 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 1012021210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163106552320).

1012021210200 is an abundant number, since it is smaller than the sum of its proper divisors (3314191894440).

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

1012021210200 is a wasteful number, since it uses less digits than its factorization.

1012021210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45628 (or 45619 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1012021210200 its reverse (20121202101), we get a palindrome (1032142412301).

It can be divided in two parts, 1012021 and 210200, that added together give a palindrome (1222221).

The spelling of 1012021210200 in words is "one trillion, twelve billion, twenty-one million, two hundred ten thousand, two hundred".