100101010010001 has 64 divisors (see below), whose sum is σ = 184045100445696. Its totient is φ = 46703173881600.

The previous prime is 100101010009919. The next prime is 100101010010003. The reversal of 100101010010001 is 100010010101001.

It is not a de Polignac number, because 100101010010001 - 2⁷ = 100101010009873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100101010010003) 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, 450343885 + ... + 450566106.

It is an arithmetic number, because the mean of its divisors is an integer number (2875704694464).

Almost surely, 2^{100101010010001} is an apocalyptic number.

100101010010001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101010010001 is a deficient number, since it is larger than the sum of its proper divisors (83944090435695).

100101010010001 is a wasteful number, since it uses less digits than its factorization.

100101010010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900910062.

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

Adding to 100101010010001 its reverse (100010010101001), we get a palindrome (200111020111002).

It can be divided in two parts, 1001010 and 10010001, that added together give a palindrome (11011011).

The spelling of 100101010010001 in words is "one hundred trillion, one hundred one billion, ten million, ten thousand, one".