1002101101200 has 240 divisors, whose sum is σ = 3776546410560. Its totient is φ = 251507681280.

The previous prime is 1002101101159. The next prime is 1002101101213. The reversal of 1002101101200 is 21011012001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2545434 + ... + 2912633.

It is an arithmetic number, because the mean of its divisors is an integer number (15735610044).

Almost surely, 2^{1002101101200} is an apocalyptic number.

1002101101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002101101200 is an abundant number, since it is smaller than the sum of its proper divisors (2774445309360).

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

1002101101200 is a wasteful number, since it uses less digits than its factorization.

1002101101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5458111 (or 5458094 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1002101101200 its reverse (21011012001), we get a palindrome (1023112113201).

The spelling of 1002101101200 in words is "one trillion, two billion, one hundred one million, one hundred one thousand, two hundred".