100002100110 has 128 divisors (see below), whose sum is σ = 264878304768. Its totient is φ = 23961600000.

The previous prime is 100002100073. The next prime is 100002100117. The reversal of 100002100110 is 11001200001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002100117) 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, 11105610 + ... + 11114610.

It is an arithmetic number, because the mean of its divisors is an integer number (2069361756).

Almost surely, 2^100002100110 is an apocalyptic number.

100002100110 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 100002100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132439152384).

100002100110 is an abundant number, since it is smaller than the sum of its proper divisors (164876204658).

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

100002100110 is a wasteful number, since it uses less digits than its factorization.

100002100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9410.

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

Adding to 100002100110 its reverse (11001200001), we get a palindrome (111003300111).

The spelling of 100002100110 in words is "one hundred billion, two million, one hundred thousand, one hundred ten".