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121101143101 = 1761337346529
BaseRepresentation
bin111000011001000110…
…0001100110000111101
3102120120202011110212021
41300302030030300331
53441003343034401
6131344425440141
711514666506101
oct1606214146075
9376522143767
10121101143101
11473a4490244
121b578640051
13b55c378433
145c0b6a1901
15323b9b52a1
hex1c3230cc3d

121101143101 has 16 divisors (see below), whose sum is σ = 130713888240. Its totient is φ = 111776071680.

The previous prime is 121101143099. The next prime is 121101143131. The reversal of 121101143101 is 101341101121.

It can be written as a sum of positive squares in 8 ways, for example, as 7716744025 + 113384399076 = 87845^2 + 336726^2 .

It is not a de Polignac number, because 121101143101 - 21 = 121101143099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121101143131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176205 + ... + 522733.

It is an arithmetic number, because the mean of its divisors is an integer number (8169618015).

Almost surely, 2121101143101 is an apocalyptic number.

It is an amenable number.

121101143101 is a deficient number, since it is larger than the sum of its proper divisors (9612745139).

121101143101 is a wasteful number, since it uses less digits than its factorization.

121101143101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346944.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 121101143101 its reverse (101341101121), we get a palindrome (222442244222).

The spelling of 121101143101 in words is "one hundred twenty-one billion, one hundred one million, one hundred forty-three thousand, one hundred one".

Divisors: 1 17 61 337 1037 5729 20557 346529 349469 5890993 21138269 116780273 359350573 1985264641 7123596653 121101143101