102033103002000 has 320 divisors, whose sum is σ = 332977555572480. Its totient is φ = 26880106432000.

The previous prime is 102033103001993. The next prime is 102033103002037. The reversal of 102033103002000 is 200301330201.

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, 3430707130 + ... + 3430736870.

It is an arithmetic number, because the mean of its divisors is an integer number (1040554861164).

Almost surely, 2^{102033103002000} is an apocalyptic number.

102033103002000 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 102033103002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166488777786240).

102033103002000 is an abundant number, since it is smaller than the sum of its proper divisors (230944452570480).

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

102033103002000 is an frugal number, since it uses more digits than its factorization.

102033103002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30016 (or 29834 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 102033103002000 its reverse (200301330201), we get a palindrome (102233404332201).

The spelling of 102033103002000 in words is "one hundred two trillion, thirty-three billion, one hundred three million, two thousand".