100111110101010 has 128 divisors (see below), whose sum is σ = 281137524192000. Its totient is φ = 25280078455296.

The previous prime is 100111110101003. The next prime is 100111110101047. The reversal of 100111110101010 is 10101011111001.

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 = 100111110100983 and 100111110101001.

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, 7339654 + ... + 15940286.

It is an arithmetic number, because the mean of its divisors is an integer number (2196386907750).

Almost surely, 2^{100111110101010} is an apocalyptic number.

100111110101010 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 100111110101010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140568762096000).

100111110101010 is an abundant number, since it is smaller than the sum of its proper divisors (181026414090990).

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

100111110101010 is a wasteful number, since it uses less digits than its factorization.

100111110101010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8602937 (or 8602931 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100111110101010 its reverse (10101011111001), we get a palindrome (110212121212011).

The spelling of 100111110101010 in words is "one hundred trillion, one hundred eleven billion, one hundred ten million, one hundred one thousand, ten".