100211000211101 has 8 divisors (see below), whose sum is σ = 108082805776344. Its totient is φ = 92362518515520.

The previous prime is 100211000211097. The next prime is 100211000211109. The reversal of 100211000211101 is 101112000112001.

It can be written as a sum of positive squares in 4 ways, for example, as 811575765625 + 99399424445476 = 900875^2 + 9969926^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 100211000211101 - 2² = 100211000211097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211000211109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5830958486 + ... + 5830975671.

It is an arithmetic number, because the mean of its divisors is an integer number (13510350722043).

Almost surely, 2^{100211000211101} is an apocalyptic number.

It is an amenable number.

100211000211101 is a deficient number, since it is larger than the sum of its proper divisors (7871805565243).

100211000211101 is a wasteful number, since it uses less digits than its factorization.

100211000211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11661934831.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100211000211101 its reverse (101112000112001), we get a palindrome (201323000323102).

The spelling of 100211000211101 in words is "one hundred trillion, two hundred eleven billion, two hundred eleven thousand, one hundred one".