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101011022100212 = 22734636110415539
BaseRepresentation
bin10110111101111001110110…
…000101110011011011110100
3111020122120002210202122210112
4112331321312011303123310
5101214431033124201322
6554455453431042152
730163543202201240
oct2675716605633364
9436576083678715
10101011022100212
112a2045966950a4
12b3b4742b10358
1344493b5aa6473
141ad2d6103d420
15ba27dd9dd5e2
hex5bde761736f4

101011022100212 has 24 divisors (see below), whose sum is σ = 202022646866880. Its totient is φ = 43290308900160.

The previous prime is 101011022100193. The next prime is 101011022100217. The reversal of 101011022100212 is 212001220110101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011022100217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4490339 + ... + 14905877.

It is an arithmetic number, because the mean of its divisors is an integer number (8417610286120).

Almost surely, 2101011022100212 is an apocalyptic number.

It is an amenable number.

101011022100212 is an abundant number, since it is smaller than the sum of its proper divisors (101011624766668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101011022100212 is a wasteful number, since it uses less digits than its factorization.

101011022100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10761911 (or 10761909 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101011022100212 its reverse (212001220110101), we get a palindrome (313012242210313).

The spelling of 101011022100212 in words is "one hundred one trillion, eleven billion, twenty-two million, one hundred thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 346361 692722 1385444 2424527 4849054 9698108 10415539 20831078 41662156 72908773 145817546 291635092 3607536503579 7215073007158 14430146014316 25252755525053 50505511050106 101011022100212