100011100100010 has 128 divisors (see below), whose sum is σ = 262485650718720. Its totient is φ = 24186072979200.

The previous prime is 100011100100003. The next prime is 100011100100039. The reversal of 100011100100010 is 10001001110001.

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, 230777911 + ... + 231210869.

It is an arithmetic number, because the mean of its divisors is an integer number (2050669146240).

Almost surely, 2^{100011100100010} is an apocalyptic number.

100011100100010 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 100011100100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131242825359360).

100011100100010 is an abundant number, since it is smaller than the sum of its proper divisors (162474550618710).

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

100011100100010 is a wasteful number, since it uses less digits than its factorization.

100011100100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434684.

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

Adding to 100011100100010 its reverse (10001001110001), we get a palindrome (110012101210011).

It can be divided in two parts, 10001 and 1100100010, that added together give a palindrome (1100110011).

The spelling of 100011100100010 in words is "one hundred trillion, eleven billion, one hundred million, one hundred thousand, ten".