102003003322000 has 640 divisors, whose sum is σ = 294285237682176. Its totient is φ = 33760742400000.

The previous prime is 102003003321997. The next prime is 102003003322021. The reversal of 102003003322000 is 223300300201.

It is a super-2 number, since 2×102003003322000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28092260185 + ... + 28092263815.

Almost surely, 2^{102003003322000} is an apocalyptic number.

102003003322000 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 102003003322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147142618841088).

102003003322000 is an abundant number, since it is smaller than the sum of its proper divisors (192282234360176).

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

102003003322000 is a wasteful number, since it uses less digits than its factorization.

102003003322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6136 (or 6120 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 102003003322000 its reverse (223300300201), we get a palindrome (102226303622201).

The spelling of 102003003322000 in words is "one hundred two trillion, three billion, three million, three hundred twenty-two thousand".