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211012100201001 = 311191237272063399
BaseRepresentation
bin101111111110101000010101…
…010001101001101000101001
31000200010120010001221122011110
4233332220111101221220221
5210124210240122413001
62024441342014220533
762306056360515111
oct5776502521515051
91020116101848143
10211012100201001
1161264802542380
121b7bb6854b4749
13909848152b888
143a1707c21c041
15195dd97bad3d6
hexbfea15469a29

211012100201001 has 32 divisors (see below), whose sum is σ = 323341909632000. Its totient is φ = 121057329574080.

The previous prime is 211012100200981. The next prime is 211012100201027. The reversal of 211012100201001 is 100102001210112.

It is not a de Polignac number, because 211012100201001 - 214 = 211012100184617 is a prime.

It is a super-2 number, since 2×2110121002010012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211012100201081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135256101 + ... + 136807298.

It is an arithmetic number, because the mean of its divisors is an integer number (10104434676000).

Almost surely, 2211012100201001 is an apocalyptic number.

It is an amenable number.

211012100201001 is a deficient number, since it is larger than the sum of its proper divisors (112329809430999).

211012100201001 is a wasteful number, since it uses less digits than its factorization.

211012100201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272064669.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211012100201001 its reverse (100102001210112), we get a palindrome (311114101411113).

The spelling of 211012100201001 in words is "two hundred eleven trillion, twelve billion, one hundred million, two hundred one thousand, one".

Divisors: 1 3 11 19 33 57 209 627 1237 3711 13607 23503 40821 70509 258533 775599 272063399 816190197 2992697389 5169204581 8978092167 15507613743 56861250391 170583751173 336542424563 1009627273689 3701966670193 6394306066697 11105900010579 19182918200091 70337366733667 211012100201001