211001121001 has 16 divisors (see below), whose sum is σ = 232587537408. Its totient is φ = 189825868800.

The previous prime is 211001120987. The next prime is 211001121013. The reversal of 211001121001 is 100121100112.

It is a cyclic number.

It is not a de Polignac number, because 211001121001 - 2¹¹ = 211001118953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211001121091) 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, 145315 + ... + 665671.

It is an arithmetic number, because the mean of its divisors is an integer number (14536721088).

Almost surely, 2^211001121001 is an apocalyptic number.

It is an amenable number.

211001121001 is a deficient number, since it is larger than the sum of its proper divisors (21586416407).

211001121001 is a wasteful number, since it uses less digits than its factorization.

211001121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520752.

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

Adding to 211001121001 its reverse (100121100112), we get a palindrome (311122221113).

It can be divided in two parts, 21100112 and 1001, that multiplied together give a palindrome (21121212112).

The spelling of 211001121001 in words is "two hundred eleven billion, one million, one hundred twenty-one thousand, one".