211001020000101 has 24 divisors (see below), whose sum is σ = 313019291220480. Its totient is φ = 136864318350816.

The previous prime is 211001020000087. The next prime is 211001020000139. The reversal of 211001020000101 is 101000020100112.

It is a happy number.

It is not a de Polignac number, because 211001020000101 - 2¹⁴ = 211001019983717 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 (211001020000171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35782336 + ... + 41259878.

It is an arithmetic number, because the mean of its divisors is an integer number (13042470467520).

Almost surely, 2^{211001020000101} is an apocalyptic number.

It is an amenable number.

211001020000101 is a deficient number, since it is larger than the sum of its proper divisors (102018271220379).

211001020000101 is a wasteful number, since it uses less digits than its factorization.

211001020000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5593265 (or 5593262 counting only the distinct ones).

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

Adding to 211001020000101 its reverse (101000020100112), we get a palindrome (312001040100213).

The spelling of 211001020000101 in words is "two hundred eleven trillion, one billion, twenty million, one hundred one", and thus it is an aban number.