102000100110 has 64 divisors (see below), whose sum is σ = 253782097920. Its totient is φ = 26209578240.

The previous prime is 102000100039. The next prime is 102000100121. The reversal of 102000100110 is 11001000201.

102000100110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×102000100110³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18670 + ... + 452049.

It is an arithmetic number, because the mean of its divisors is an integer number (3965345280).

Almost surely, 2^102000100110 is an apocalyptic number.

102000100110 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 102000100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126891048960).

102000100110 is an abundant number, since it is smaller than the sum of its proper divisors (151781997810).

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

102000100110 is a wasteful number, since it uses less digits than its factorization.

102000100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470993.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 102000100110 its reverse (11001000201), we get a palindrome (113001100311).

Subtracting from 102000100110 its reverse (11001000201), we obtain a palindrome (90999099909).

The spelling of 102000100110 in words is "one hundred two billion, one hundred thousand, one hundred ten".