1010202001200 has 1440 divisors, whose sum is σ = 4265079017472. Its totient is φ = 216631296000.

The previous prime is 1010202001189. The next prime is 1010202001217. The reversal of 1010202001200 is 21002020101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3447788254 + ... + 3447788546.

Almost surely, 2^{1010202001200} is an apocalyptic number.

1010202001200 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 1010202001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132539508736).

1010202001200 is an abundant number, since it is smaller than the sum of its proper divisors (3254877016272).

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

1010202001200 is a wasteful number, since it uses less digits than its factorization.

1010202001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 469 counting only the distinct ones).

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

Adding to 1010202001200 its reverse (21002020101), we get a palindrome (1031204021301).

The spelling of 1010202001200 in words is "one trillion, ten billion, two hundred two million, one thousand, two hundred".