102220032000 has 384 divisors, whose sum is σ = 342571057920. Its totient is φ = 27061452800.

The previous prime is 102220031999. The next prime is 102220032007. The reversal of 102220032000 is 230022201.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (102220032007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128255602 + ... + 128256398.

It is an arithmetic number, because the mean of its divisors is an integer number (892112130).

Almost surely, 2^102220032000 is an apocalyptic number.

102220032000 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 102220032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171285528960).

102220032000 is an abundant number, since it is smaller than the sum of its proper divisors (240351025920).

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

102220032000 is an equidigital number, since it uses as much as digits as its factorization.

102220032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 102220032000 its reverse (230022201), we get a palindrome (102450054201).

The spelling of 102220032000 in words is "one hundred two billion, two hundred twenty million, thirty-two thousand".