102200030311002 has 256 divisors, whose sum is σ = 229217484787200. Its totient is φ = 30177792000000.

The previous prime is 102200030310971. The next prime is 102200030311009. The reversal of 102200030311002 is 200113030002201.

It is not an unprimeable number, because it can be changed into a prime (102200030311009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21647960002 + ... + 21647964722.

It is an arithmetic number, because the mean of its divisors is an integer number (895380799950).

Almost surely, 2^{102200030311002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102200030311002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114608742393600).

102200030311002 is an abundant number, since it is smaller than the sum of its proper divisors (127017454476198).

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

102200030311002 is a wasteful number, since it uses less digits than its factorization.

102200030311002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5361.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102200030311002 its reverse (200113030002201), we get a palindrome (302313060313203).

The spelling of 102200030311002 in words is "one hundred two trillion, two hundred billion, thirty million, three hundred eleven thousand, two".