102003220331000 has 128 divisors (see below), whose sum is σ = 239111685408960. Its totient is φ = 40728821760000.

The previous prime is 102003220330969. The next prime is 102003220331009. The reversal of 102003220331000 is 133022300201.

It is a super-2 number, since 2×102003220331000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102003220331000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102003220331009) 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, 2361109400 + ... + 2361152600.

Almost surely, 2^{102003220331000} is an apocalyptic number.

102003220331000 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 102003220331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119555842704480).

102003220331000 is an abundant number, since it is smaller than the sum of its proper divisors (137108465077960).

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

102003220331000 is a wasteful number, since it uses less digits than its factorization.

102003220331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47362 (or 47348 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 102003220331000 its reverse (133022300201), we get a palindrome (102136242631201).

The spelling of 102003220331000 in words is "one hundred two trillion, three billion, two hundred twenty million, three hundred thirty-one thousand".