102212002001200 has 240 divisors, whose sum is σ = 302853681679360. Its totient is φ = 32281984373760.

The previous prime is 102212002001191. The next prime is 102212002001203. The reversal of 102212002001200 is 2100200212201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (102212002001203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14843821 + ... + 20609779.

Almost surely, 2^{102212002001200} is an apocalyptic number.

102212002001200 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 102212002001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151426840839680).

102212002001200 is an abundant number, since it is smaller than the sum of its proper divisors (200641679678160).

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

102212002001200 is a wasteful number, since it uses less digits than its factorization.

102212002001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5766484 (or 5766473 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102212002001200 its reverse (2100200212201), we get a palindrome (104312202213401).

The spelling of 102212002001200 in words is "one hundred two trillion, two hundred twelve billion, two million, one thousand, two hundred".