100001010101100 has 576 divisors, whose sum is σ = 300979436083200. Its totient is φ = 25624257085440.

The previous prime is 100001010101099. The next prime is 100001010101207. The reversal of 100001010101100 is 1101010100001.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42427241122 + ... + 42427243478.

It is an arithmetic number, because the mean of its divisors is an integer number (522533743200).

Almost surely, 2^{100001010101100} is an apocalyptic number.

100001010101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100001010101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150489718041600).

100001010101100 is an abundant number, since it is smaller than the sum of its proper divisors (200978425982100).

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

100001010101100 is a wasteful number, since it uses less digits than its factorization.

100001010101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2835 counting only the distinct ones).

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

Adding to 100001010101100 its reverse (1101010100001), we get a palindrome (101102020201101).

The spelling of 100001010101100 in words is "one hundred trillion, one billion, ten million, one hundred one thousand, one hundred".