100001302110 has 128 divisors (see below), whose sum is σ = 268451020800. Its totient is φ = 26489514240.

The previous prime is 100001302099. The next prime is 100001302117. The reversal of 100001302110 is 11203100001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100001302092 and 100001302101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001302117) 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, 29488515 + ... + 29491905.

It is an arithmetic number, because the mean of its divisors is an integer number (2097273600).

Almost surely, 2^100001302110 is an apocalyptic number.

100001302110 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 100001302110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134225510400).

100001302110 is an abundant number, since it is smaller than the sum of its proper divisors (168449718690).

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

100001302110 is a wasteful number, since it uses less digits than its factorization.

100001302110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4103 (or 4097 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100001302110 its reverse (11203100001), we get a palindrome (111204402111).

The spelling of 100001302110 in words is "one hundred billion, one million, three hundred two thousand, one hundred ten".