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1001121102201 = 31147679633853
BaseRepresentation
bin11101001000101110111…
…01111011100101111001
310112201001211222022120210
432210113131323211321
5112400244000232301
62043524135341333
7132220466651403
oct16442735734571
93481054868523
101001121102201
11356633843640
12142035521849
137353662751c
14366512b9b73
151b094db9ad6
hexe91777b979

1001121102201 has 32 divisors (see below), whose sum is σ = 1509355173888. Its totient is φ = 584967493440.

The previous prime is 1001121102161. The next prime is 1001121102227. The reversal of 1001121102201 is 1022011211001.

It is not a de Polignac number, because 1001121102201 - 211 = 1001121100153 is a prime.

It is a super-2 number, since 2×10011211022012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001121152201) 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, 4713010 + ... + 4920843.

It is an arithmetic number, because the mean of its divisors is an integer number (47167349184).

Almost surely, 21001121102201 is an apocalyptic number.

1001121102201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001121102201 is a deficient number, since it is larger than the sum of its proper divisors (508234071687).

1001121102201 is a wasteful number, since it uses less digits than its factorization.

1001121102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9633981.

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

Adding to 1001121102201 its reverse (1022011211001), we get a palindrome (2023132313202).

The spelling of 1001121102201 in words is "one trillion, one billion, one hundred twenty-one million, one hundred two thousand, two hundred one".

Divisors: 1 3 11 33 47 67 141 201 517 737 1551 2211 3149 9447 34639 103917 9633853 28901559 105972383 317917149 452791091 645468151 1358373273 1936404453 4980702001 7100149661 14942106003 21300448983 30337003097 91011009291 333707034067 1001121102201