1021021201200 has 960 divisors, whose sum is σ = 4510273324032. Its totient is φ = 190538956800.

The previous prime is 1021021201199. The next prime is 1021021201231. The reversal of 1021021201200 is 21021201201.

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

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, 44432914 + ... + 44455886.

Almost surely, 2^{1021021201200} is an apocalyptic number.

1021021201200 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 1021021201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255136662016).

1021021201200 is an abundant number, since it is smaller than the sum of its proper divisors (3489252122832).

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

1021021201200 is a wasteful number, since it uses less digits than its factorization.

1021021201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23062 (or 23051 counting only the distinct ones).

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

Adding to 1021021201200 its reverse (21021201201), we get a palindrome (1042042402401).

Subtracting from 1021021201200 its reverse (21021201201), we obtain a palindrome (999999999999).

It can be divided in two parts, 1021021 and 201200, that added together give a palindrome (1222221).

The spelling of 1021021201200 in words is "one trillion, twenty-one billion, twenty-one million, two hundred one thousand, two hundred".