211012100001 has 16 divisors (see below), whose sum is σ = 312768561600. Its totient is φ = 140603613984.

The previous prime is 211012099993. The next prime is 211012100017. The reversal of 211012100001 is 100001210112.

It is a happy number.

It is not a de Polignac number, because 211012100001 - 2³ = 211012099993 is a prime.

It is a super-2 number, since 2×211012100001² (a number of 23 digits) contains 22 as substring.

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 (211012100401) 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 15 ways as a sum of consecutive naturals, for example, 1921116 + ... + 2027981.

It is an arithmetic number, because the mean of its divisors is an integer number (19548035100).

Almost surely, 2^211012100001 is an apocalyptic number.

It is an amenable number.

211012100001 is a deficient number, since it is larger than the sum of its proper divisors (101756461599).

211012100001 is a wasteful number, since it uses less digits than its factorization.

211012100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3951085 (or 3951079 counting only the distinct ones).

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

Adding to 211012100001 its reverse (100001210112), we get a palindrome (311013310113).

The spelling of 211012100001 in words is "two hundred eleven billion, twelve million, one hundred thousand, one".