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BaseRepresentation
bin10110111111001101110000…
…011010001101110100101101
3111020222011122221221010121110
4112333031300122031310231
5101222420044000213401
6555005114105222233
730203213013106152
oct2677156032156455
9436864587833543
10101101121101101
112a239821185000
12b40a0a8a91979
134454a4427c544
15ba4d138c39d6
hex5bf37068dd2d

101101121101101 has 128 divisors (see below), whose sum is σ = 158084971702272. Its totient is φ = 57268896537600.

The previous prime is 101101121101093. The next prime is 101101121101103.

101101121101101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101101121101101 - 23 = 101101121101093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101121101103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11121007566 + ... + 11121016656.

It is an arithmetic number, because the mean of its divisors is an integer number (1235038841424).

Almost surely, 2101101121101101 is an apocalyptic number.

101101121101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101101121101101 is a deficient number, since it is larger than the sum of its proper divisors (56983850601171).

101101121101101 is a wasteful number, since it uses less digits than its factorization.

101101121101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10264 (or 10242 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

It can be divided in two parts, 10110 and 1121101101, that added together give a palindrome (1121111211).

The spelling of 101101121101101 in words is "one hundred one trillion, one hundred one billion, one hundred twenty-one million, one hundred one thousand, one hundred one".