211101011121001 has 16 divisors (see below), whose sum is σ = 222099292785600. Its totient is φ = 200351205318208.

The previous prime is 211101011120971. The next prime is 211101011121017. The reversal of 211101011121001 is 100121110101112.

It is not a de Polignac number, because 211101011121001 - 2⁵ = 211101011120969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211101011121071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16773810 + ... + 26524756.

It is an arithmetic number, because the mean of its divisors is an integer number (13881205799100).

Almost surely, 2^{211101011121001} is an apocalyptic number.

It is an amenable number.

211101011121001 is a deficient number, since it is larger than the sum of its proper divisors (10998281664599).

211101011121001 is a wasteful number, since it uses less digits than its factorization.

211101011121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9763688.

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

Adding to 211101011121001 its reverse (100121110101112), we get a palindrome (311222121222113).

It can be divided in two parts, 21110101112 and 1001, that multiplied together give a palindrome (21131211213112).

The spelling of 211101011121001 in words is "two hundred eleven trillion, one hundred one billion, eleven million, one hundred twenty-one thousand, one".