100101220110001 has 8 divisors (see below), whose sum is σ = 109254110817600. Its totient is φ = 90957126033840.

The previous prime is 100101220109999. The next prime is 100101220110037. The reversal of 100101220110001 is 100011022101001.

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

It is not a de Polignac number, because 100101220110001 - 2¹ = 100101220109999 is a prime.

It is a super-2 number, since 2×100101220110001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100101220110001.

It is not an unprimeable number, because it can be changed into a prime (100101220110301) 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, 2199134061 + ... + 2199179578.

It is an arithmetic number, because the mean of its divisors is an integer number (13656763852200).

Almost surely, 2^{100101220110001} is an apocalyptic number.

100101220110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101220110001 is a deficient number, since it is larger than the sum of its proper divisors (9152890707599).

100101220110001 is a wasteful number, since it uses less digits than its factorization.

100101220110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4398315719.

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

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

The spelling of 100101220110001 in words is "one hundred trillion, one hundred one billion, two hundred twenty million, one hundred ten thousand, one".