100011022101001 has 8 divisors (see below), whose sum is σ = 110731335189984. Its totient is φ = 89562109343520.

The previous prime is 100011022100999. The next prime is 100011022101007. The reversal of 100011022101001 is 100101220110001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100011022101001 - 2¹ = 100011022100999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100011022101007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67850082100 + ... + 67850083573.

It is an arithmetic number, because the mean of its divisors is an integer number (13841416898748).

Almost surely, 2^{100011022101001} is an apocalyptic number.

100011022101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100011022101001 is a deficient number, since it is larger than the sum of its proper divisors (10720313088983).

100011022101001 is a wasteful number, since it uses less digits than its factorization.

100011022101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135700165751.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100011022101001 its reverse (100101220110001), we get a palindrome (200112242211002).

The spelling of 100011022101001 in words is "one hundred trillion, eleven billion, twenty-two million, one hundred one thousand, one".