102012210001200 has 240 divisors, whose sum is σ = 331468447447296. Its totient is φ = 26815257984000.

The previous prime is 102012210001139. The next prime is 102012210001231. The reversal of 102012210001200 is 2100012210201.

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 (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25658469 + ... + 29366331.

Almost surely, 2^{102012210001200} is an apocalyptic number.

102012210001200 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 102012210001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165734223723648).

102012210001200 is an abundant number, since it is smaller than the sum of its proper divisors (229456237446096).

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

102012210001200 is a wasteful number, since it uses less digits than its factorization.

102012210001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3708212 (or 3708201 counting only the distinct ones).

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

Adding to 102012210001200 its reverse (2100012210201), we get a palindrome (104112222211401).

It can be divided in two parts, 102012210001 and 200, that added together give a palindrome (102012210201).

The spelling of 102012210001200 in words is "one hundred two trillion, twelve billion, two hundred ten million, one thousand, two hundred".