211001002101 has 12 divisors (see below), whose sum is σ = 322707415212. Its totient is φ = 132392785536.

The previous prime is 211001002087. The next prime is 211001002129. The reversal of 211001002101 is 101200100112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 136455621201 + 74545380900 = 369399^2 + 273030^2 .

It is not a de Polignac number, because 211001002101 - 2¹¹ = 211001000053 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211001002301) 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, 689545606 + ... + 689545911.

It is an arithmetic number, because the mean of its divisors is an integer number (26892284601).

Almost surely, 2^211001002101 is an apocalyptic number.

It is an amenable number.

211001002101 is a deficient number, since it is larger than the sum of its proper divisors (111706413111).

211001002101 is a wasteful number, since it uses less digits than its factorization.

211001002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379091540 (or 1379091537 counting only the distinct ones).

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

Adding to 211001002101 its reverse (101200100112), we get a palindrome (312201102213).

It can be divided in two parts, 21100 and 1002101, that added together give a palindrome (1023201).

The spelling of 211001002101 in words is "two hundred eleven billion, one million, two thousand, one hundred one".