100100001110010 has 128 divisors (see below), whose sum is σ = 264826591755264. Its totient is φ = 24012437698560.

The previous prime is 100100001109993. The next prime is 100100001110017. The reversal of 100100001110010 is 10011100001001.

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

It is not an unprimeable number, because it can be changed into a prime (100100001110017) 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, 191382709 + ... + 191905031.

It is an arithmetic number, because the mean of its divisors is an integer number (2068957748088).

Almost surely, 2^{100100001110010} is an apocalyptic number.

100100001110010 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 100100001110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132413295877632).

100100001110010 is an abundant number, since it is smaller than the sum of its proper divisors (164726590645254).

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

100100001110010 is a wasteful number, since it uses less digits than its factorization.

100100001110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528428.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100100001110010 its reverse (10011100001001), we get a palindrome (110111101111011).

The spelling of 100100001110010 in words is "one hundred trillion, one hundred billion, one million, one hundred ten thousand, ten".