102001020000330 has 128 divisors (see below), whose sum is σ = 268090921552896. Its totient is φ = 24631865280000.

The previous prime is 102001020000251. The next prime is 102001020000331. The reversal of 102001020000330 is 33000020100201.

It is a happy number.

It is a super-2 number, since 2×102001020000330² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102001020000331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 280081417 + ... + 280445363.

It is an arithmetic number, because the mean of its divisors is an integer number (2094460324632).

Almost surely, 2^{102001020000330} is an apocalyptic number.

102001020000330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102001020000330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134045460776448).

102001020000330 is an abundant number, since it is smaller than the sum of its proper divisors (166089901552566).

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

102001020000330 is a wasteful number, since it uses less digits than its factorization.

102001020000330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367252.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 102001020000330 its reverse (33000020100201), we get a palindrome (135001040100531).

The spelling of 102001020000330 in words is "one hundred two trillion, one billion, twenty million, three hundred thirty", and thus it is an aban number.