211121100101101 has 8 divisors (see below), whose sum is σ = 216036586260704. Its totient is φ = 206205872720400.

The previous prime is 211121100101089. The next prime is 211121100101111. The reversal of 211121100101101 is 101101001121112.

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 211121100101101 - 2⁵ = 211121100101069 is a prime.

It is a super-3 number, since 3×211121100101101³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211121100101111) 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, 63043575 + ... + 66307876.

It is an arithmetic number, because the mean of its divisors is an integer number (27004573282588).

Almost surely, 2^{211121100101101} is an apocalyptic number.

It is an amenable number.

211121100101101 is a deficient number, since it is larger than the sum of its proper divisors (4915486159603).

211121100101101 is a wasteful number, since it uses less digits than its factorization.

211121100101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129389451.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 211121100101101 its reverse (101101001121112), we get a palindrome (312222101222213).

The spelling of 211121100101101 in words is "two hundred eleven trillion, one hundred twenty-one billion, one hundred million, one hundred one thousand, one hundred one".