211001102001 has 12 divisors (see below), whose sum is σ = 315289003380. Its totient is φ = 135816801120.

The previous prime is 211001101963. The next prime is 211001102009. The reversal of 211001102001 is 100201100112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 78708863601 + 132292238400 = 280551^2 + 363720^2 .

It is not a de Polignac number, because 211001102001 - 2⁶ = 211001101937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (211001102009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 404216410 + ... + 404216931.

It is an arithmetic number, because the mean of its divisors is an integer number (26274083615).

Almost surely, 2^211001102001 is an apocalyptic number.

It is an amenable number.

211001102001 is a deficient number, since it is larger than the sum of its proper divisors (104287901379).

211001102001 is a wasteful number, since it uses less digits than its factorization.

211001102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808433376 (or 808433373 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 211001102001 its reverse (100201100112), we get a palindrome (311202202113).

The spelling of 211001102001 in words is "two hundred eleven billion, one million, one hundred two thousand, one".