102001110330 has 128 divisors (see below), whose sum is σ = 287911895040. Its totient is φ = 22644011520.

The previous prime is 102001110311. The next prime is 102001110349. The reversal of 102001110330 is 33011100201.

It is an interprime number because it is at equal distance from previous prime (102001110311) and next prime (102001110349).

It is a super-3 number, since 3×102001110330³ (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1253526 + ... + 1332414.

It is an arithmetic number, because the mean of its divisors is an integer number (2249311680).

Almost surely, 2^102001110330 is an apocalyptic number.

102001110330 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 102001110330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143955947520).

102001110330 is an abundant number, since it is smaller than the sum of its proper divisors (185910784710).

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

102001110330 is a wasteful number, since it uses less digits than its factorization.

102001110330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79084.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 102001110330 its reverse (33011100201), we get a palindrome (135012210531).

The spelling of 102001110330 in words is "one hundred two billion, one million, one hundred ten thousand, three hundred thirty".