102102300222000 has 320 divisors, whose sum is σ = 354634536686976. Its totient is φ = 25123278028800.

The previous prime is 102102300221993. The next prime is 102102300222011. The reversal of 102102300222000 is 222003201201.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205125424 + ... + 205622576.

Almost surely, 2^{102102300222000} is an apocalyptic number.

102102300222000 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 102102300222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177317268343488).

102102300222000 is an abundant number, since it is smaller than the sum of its proper divisors (252532236464976).

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

102102300222000 is a wasteful number, since it uses less digits than its factorization.

102102300222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499825 (or 499809 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 102102300222000 its reverse (222003201201), we get a palindrome (102324303423201).

The spelling of 102102300222000 in words is "one hundred two trillion, one hundred two billion, three hundred million, two hundred twenty-two thousand".