100100010114 has 96 divisors (see below), whose sum is σ = 243083602944. Its totient is φ = 30689850240.

The previous prime is 100100010097. The next prime is 100100010121. The reversal of 100100010114 is 411010001001.

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 = 100100010096 and 100100010105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1747167 + ... + 1803549.

It is an arithmetic number, because the mean of its divisors is an integer number (2532120864).

Almost surely, 2^100100010114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100100010114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121541801472).

100100010114 is an abundant number, since it is smaller than the sum of its proper divisors (142983592830).

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

100100010114 is a wasteful number, since it uses less digits than its factorization.

100100010114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56694 (or 56682 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100100010114 its reverse (411010001001), we get a palindrome (511110011115).

The spelling of 100100010114 in words is "one hundred billion, one hundred million, ten thousand, one hundred fourteen".