100101110010 has 128 divisors (see below), whose sum is σ = 265730927616. Its totient is φ = 23930250240.

The previous prime is 100101109981. The next prime is 100101110027. The reversal of 100101110010 is 10011101001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16239189 + ... + 16245351.

It is an arithmetic number, because the mean of its divisors is an integer number (2076022872).

Almost surely, 2^100101110010 is an apocalyptic number.

100101110010 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 100101110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132865463808).

100101110010 is an abundant number, since it is smaller than the sum of its proper divisors (165629817606).

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

100101110010 is a wasteful number, since it uses less digits than its factorization.

100101110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6860.

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

Adding to 100101110010 its reverse (10011101001), we get a palindrome (110112211011).

Subtracting from 100101110010 its reverse (10011101001), we obtain a palindrome (90090009009).

The spelling of 100101110010 in words is "one hundred billion, one hundred one million, one hundred ten thousand, ten".