100211101000211 has 8 divisors (see below), whose sum is σ = 100237930110000. Its totient is φ = 100184272925440.

The previous prime is 100211101000183. The next prime is 100211101000247. The reversal of 100211101000211 is 112000101112001.

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 100211101000211 - 2⁶ = 100211101000147 is a prime.

It is a super-3 number, since 3×100211101000211³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100211101000192 and 100211101000201.

It is not an unprimeable number, because it can be changed into a prime (100211101000111) 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, 217804796 + ... + 218264406.

It is an arithmetic number, because the mean of its divisors is an integer number (12529741263750).

Almost surely, 2^{100211101000211} is an apocalyptic number.

100211101000211 is a deficient number, since it is larger than the sum of its proper divisors (26829109789).

100211101000211 is an equidigital number, since it uses as much as digits as its factorization.

100211101000211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517509.

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

Adding to 100211101000211 its reverse (112000101112001), we get a palindrome (212211202112212).

The spelling of 100211101000211 in words is "one hundred trillion, two hundred eleven billion, one hundred one million, two hundred eleven", and thus it is an aban number.