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101132221201 = 1125331150707
BaseRepresentation
bin101111000101111110…
…0110011101100010001
3100200001002010010202021
41132023330303230101
53124104322034301
6114243130251441
710210102460644
oct1361374635421
9320032103667
10101132221201
1139987558700
1217724b86b81
1396c926240b
144c75589a5b
15296d8378a1
hex178bf33b11

101132221201 has 24 divisors (see below), whose sum is σ = 113625675072. Its totient is φ = 89911879200.

The previous prime is 101132221199. The next prime is 101132221237. The reversal of 101132221201 is 102122231101.

It is not a de Polignac number, because 101132221201 - 21 = 101132221199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101132221241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1969090 + ... + 2019796.

It is an arithmetic number, because the mean of its divisors is an integer number (4734403128).

Almost surely, 2101132221201 is an apocalyptic number.

101132221201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101132221201 is a deficient number, since it is larger than the sum of its proper divisors (12493453871).

101132221201 is a wasteful number, since it uses less digits than its factorization.

101132221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51093 (or 51082 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 101132221201 its reverse (102122231101), we get a palindrome (203254452302).

The spelling of 101132221201 in words is "one hundred one billion, one hundred thirty-two million, two hundred twenty-one thousand, two hundred one".

Divisors: 1 11 53 121 311 583 3421 6413 16483 37631 50707 181313 557777 1994443 2687471 6135547 15769877 29562181 173468647 325183991 835803481 1908155117 9193838291 101132221201