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101212202201 = 1121749203793
BaseRepresentation
bin101111001000010110…
…1111010010011011001
3100200020122121121001112
41132100231322103121
53124240310432301
6114255104430105
710212063344465
oct1362055722331
9320218547045
10101212202201
1139a18716600
1217747918335
13970c9b6c56
144c820494a5
1529758859bb
hex1790b7a4d9

101212202201 has 12 divisors (see below), whose sum is σ = 117793882836. Its totient is φ = 86598673920.

The previous prime is 101212202191. The next prime is 101212202233. The reversal of 101212202201 is 102202212101.

It can be written as a sum of positive squares in 2 ways, for example, as 28106857801 + 73105344400 = 167651^2 + 270380^2 .

It is not a de Polignac number, because 101212202201 - 26 = 101212202137 is a prime.

It is a super-2 number, since 2×1012122022012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101212202251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24599840 + ... + 24603953.

It is an arithmetic number, because the mean of its divisors is an integer number (9816156903).

Almost surely, 2101212202201 is an apocalyptic number.

101212202201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101212202201 is a deficient number, since it is larger than the sum of its proper divisors (16581680635).

101212202201 is a wasteful number, since it uses less digits than its factorization.

101212202201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49203832 (or 49203821 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101212202201 its reverse (102202212101), we get a palindrome (203414414302).

The spelling of 101212202201 in words is "one hundred one billion, two hundred twelve million, two hundred two thousand, two hundred one".

Divisors: 1 11 17 121 187 2057 49203793 541241723 836464481 5953658953 9201109291 101212202201