102210203130000 has 800 divisors, whose sum is σ = 400105237340160. Its totient is φ = 21941806080000.

The previous prime is 102210203129989. The next prime is 102210203130001. The reversal of 102210203130000 is 31302012201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (102210203130001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1710000115 + ... + 1710059885.

Almost surely, 2^{102210203130000} is an apocalyptic number.

102210203130000 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 102210203130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200052618670080).

102210203130000 is an abundant number, since it is smaller than the sum of its proper divisors (297895034210160).

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

102210203130000 is a wasteful number, since it uses less digits than its factorization.

102210203130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60305 (or 60284 counting only the distinct ones).

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

Adding to 102210203130000 its reverse (31302012201), we get a palindrome (102241505142201).

The spelling of 102210203130000 in words is "one hundred two trillion, two hundred ten billion, two hundred three million, one hundred thirty thousand".