211012000101 has 90 divisors (see below), whose sum is σ = 383318748582. Its totient is φ = 115334604000.

The previous prime is 211012000099. The next prime is 211012000123. The reversal of 211012000101 is 101000210112.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 147444480225 + 63567519876 = 383985^2 + 252126^2 .

It is not a de Polignac number, because 211012000101 - 2¹ = 211012000099 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 (211012000141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2049351 + ... + 2149851.

Almost surely, 2^211012000101 is an apocalyptic number.

211012000101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211012000101 is a deficient number, since it is larger than the sum of its proper divisors (172306748481).

211012000101 is a wasteful number, since it uses less digits than its factorization.

211012000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100573 (or 100534 counting only the distinct ones).

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

Adding to 211012000101 its reverse (101000210112), we get a palindrome (312012210213).

It can be divided in two parts, 21101 and 2000101, that added together give a palindrome (2021202).

The spelling of 211012000101 in words is "two hundred eleven billion, twelve million, one hundred one", and thus it is an aban number.