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100211201212011 = 317313449136110273
BaseRepresentation
bin10110110010010000111101…
…000011001111111001101011
3111010211002121220122202000020
4112302100331003033321223
5101113330020002241021
6553044220145411523
730052006661625111
oct2662207503177153
9433732556582006
10100211201212011
1129a2637164678a
12b2a5728639ba3
1343bbb4cc7c606
141aa63687bdab1
15b8bacb2cb7c6
hex5b243d0cfe6b

100211201212011 has 64 divisors (see below), whose sum is σ = 142361097436800. Its totient is φ = 62485105213440.

The previous prime is 100211201211973. The next prime is 100211201212039. The reversal of 100211201212011 is 110212102112001.

It is a happy number.

It is not a de Polignac number, because 100211201212011 - 246 = 29842457034347 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100211201212081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9754808571 + ... + 9754818843.

It is an arithmetic number, because the mean of its divisors is an integer number (2224392147450).

Almost surely, 2100211201212011 is an apocalyptic number.

100211201212011 is a deficient number, since it is larger than the sum of its proper divisors (42149896224789).

100211201212011 is a wasteful number, since it uses less digits than its factorization.

100211201212011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12416.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100211201212011 its reverse (110212102112001), we get a palindrome (210423303324012).

The spelling of 100211201212011 in words is "one hundred trillion, two hundred eleven billion, two hundred one million, two hundred twelve thousand, eleven".

Divisors: 1 3 17 51 313 449 939 1347 1361 4083 5321 7633 10273 15963 22899 23137 30819 69411 140537 174641 421611 425993 523923 611089 1277979 1833267 2389129 3215449 4612577 7167387 7241881 9646347 10388513 13837731 13981553 21725643 31165539 41944659 54662633 78413809 163987899 191270857 235241427 237686401 573812571 713059203 1443736601 3251604569 4331209803 4376226089 6277717297 9754813707 13128678267 18833151891 24543522217 73630566651 74395843513 106721194049 223187530539 320163582147 1964925513961 5894776541883 33403733737337 100211201212011