102220032102000 has 320 divisors, whose sum is σ = 337156709160960. Its totient is φ = 26636908032000.

The previous prime is 102220032101987. The next prime is 102220032102007. The reversal of 102220032102000 is 201230022201.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102220032102007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47076261 + ... + 49199739.

It is an arithmetic number, because the mean of its divisors is an integer number (1053614716128).

Almost surely, 2^{102220032102000} is an apocalyptic number.

102220032102000 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 102220032102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168578354580480).

102220032102000 is an abundant number, since it is smaller than the sum of its proper divisors (234936677058960).

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

102220032102000 is a wasteful number, since it uses less digits than its factorization.

102220032102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123689 (or 2123673 counting only the distinct ones).

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

Adding to 102220032102000 its reverse (201230022201), we get a palindrome (102421262124201).

The spelling of 102220032102000 in words is "one hundred two trillion, two hundred twenty billion, thirty-two million, one hundred two thousand".